Function
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| Derivative
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\frac{\sin{\left(x^{2} \right)}}{6 x^{2}} | \frac{\cos{\left(x^{2} \right)}}{3 x} - \frac{\sin{\left(x^{2} \right)}}{3 x^{3}} |
- 4 x^{3} e^{4 x^{2}} \log{\left(x^{2} \right)} | - 32 x^{4} e^{4 x^{2}} \log{\left(x^{2} \right)} - 12 x^{2} e^{4 x^{2}} \log{\left(x^{2} \right)} - 8 x^{2} e^{4 x^{2}} |
\frac{1}{\cos{\left(3 x^{3} \right)}} | \frac{9 x^{2} \sin{\left(3 x^{3} \right)}}{\cos^{2}{\left(3 x^{3} \right)}} |
8 x^{2} \log{\left(2 x \right)} \log{\left(10 x \right)} \log{\left(3 x^{2} \right)} | 16 x \log{\left(2 x \right)} \log{\left(10 x \right)} \log{\left(3 x^{2} \right)} + 16 x \log{\left(2 x \right)} \log{\left(10 x \right)} + 8 x \log{\left(2 x \right)} \log{\left(3 x^{2} \right)} + 8 x \log{\left(10 x \right)} \log{\left(3 x^{2} \right)} |
- \frac{7 x^{2} \cos{\left(8 x^{3} \right)}}{\log{\left(x^{2} \right)}} | \frac{168 x^{4} \sin{\left(8 x^{3} \right)}}{\log{\left(x^{2} \right)}} - \frac{14 x \cos{\left(8 x^{3} \right)}}{\log{\left(x^{2} \right)}} + \frac{14 x \cos{\left(8 x^{3} \right)}}{\log{\left(x^{2} \right)}^{2}} |
\frac{e^{- x^{2}} e^{2 x^{3}}}{\cos{\left(9 x^{3} \right)}} | \frac{27 x^{2} e^{- x^{2}} e^{2 x^{3}} \sin{\left(9 x^{3} \right)}}{\cos^{2}{\left(9 x^{3} \right)}} + \frac{6 x^{2} e^{- x^{2}} e^{2 x^{3}}}{\cos{\left(9 x^{3} \right)}} - \frac{2 x e^{- x^{2}} e^{2 x^{3}}}{\cos{\left(9 x^{3} \right)}} |
- 2 x^{2} \log{\left(3 x^{3} \right)} \cos{\left(10 x^{3} \right)} | 60 x^{4} \log{\left(3 x^{3} \right)} \sin{\left(10 x^{3} \right)} - 4 x \log{\left(3 x^{3} \right)} \cos{\left(10 x^{3} \right)} - 6 x \cos{\left(10 x^{3} \right)} |
\frac{1}{\cos{\left(10 x^{2} \right)}} | \frac{20 x \sin{\left(10 x^{2} \right)}}{\cos^{2}{\left(10 x^{2} \right)}} |
\frac{6 x^{3}}{\sin{\left(5 x \right)}} | - \frac{30 x^{3} \cos{\left(5 x \right)}}{\sin^{2}{\left(5 x \right)}} + \frac{18 x^{2}}{\sin{\left(5 x \right)}} |
\frac{3 x \sin{\left(7 x^{3} \right)}}{5} | \frac{63 x^{3} \cos{\left(7 x^{3} \right)}}{5} + \frac{3 \sin{\left(7 x^{3} \right)}}{5} |
\frac{81 x^{4} e^{7 x^{3}}}{7} | 243 x^{6} e^{7 x^{3}} + \frac{324 x^{3} e^{7 x^{3}}}{7} |
- 27 x^{4} | - 108 x^{3} |
\frac{e^{- 9 x^{3}} \sin{\left(6 x \right)}}{8 x^{4}} | - \frac{27 e^{- 9 x^{3}} \sin{\left(6 x \right)}}{8 x^{2}} + \frac{3 e^{- 9 x^{3}} \cos{\left(6 x \right)}}{4 x^{4}} - \frac{e^{- 9 x^{3}} \sin{\left(6 x \right)}}{2 x^{5}} |
- 3 x \cos{\left(2 x^{3} \right)} | 18 x^{3} \sin{\left(2 x^{3} \right)} - 3 \cos{\left(2 x^{3} \right)} |
\frac{e^{2 x^{2}} \log{\left(4 x \right)}}{60 x^{5}} | \frac{e^{2 x^{2}} \log{\left(4 x \right)}}{15 x^{4}} - \frac{e^{2 x^{2}} \log{\left(4 x \right)}}{12 x^{6}} + \frac{e^{2 x^{2}}}{60 x^{6}} |
- \frac{\log{\left(8 x \right)}}{80 x^{6}} | \frac{3 \log{\left(8 x \right)}}{40 x^{7}} - \frac{1}{80 x^{7}} |
\frac{5 x^{2}}{\log{\left(- x^{2} \right)}} | \frac{10 x}{\log{\left(- x^{2} \right)}} - \frac{10 x}{\log{\left(- x^{2} \right)}^{2}} |
\frac{e^{4 x^{3}} \log{\left(- 10 x \right)} \log{\left(- 9 x \right)}}{4 x} | 3 x e^{4 x^{3}} \log{\left(- 10 x \right)} \log{\left(- 9 x \right)} - \frac{e^{4 x^{3}} \log{\left(- 10 x \right)} \log{\left(- 9 x \right)}}{4 x^{2}} + \frac{e^{4 x^{3}} \log{\left(- 10 x \right)}}{4 x^{2}} + \frac{e^{4 x^{3}} \log{\left(- 9 x \right)}}{4 x^{2}} |
\frac{e^{x^{2}} \log{\left(10 x \right)}}{\log{\left(10 x^{2} \right)} \sin{\left(10 x \right)}} | \frac{2 x e^{x^{2}} \log{\left(10 x \right)}}{\log{\left(10 x^{2} \right)} \sin{\left(10 x \right)}} - \frac{10 e^{x^{2}} \log{\left(10 x \right)} \cos{\left(10 x \right)}}{\log{\left(10 x^{2} \right)} \sin^{2}{\left(10 x \right)}} - \frac{2 e^{x^{2}} \log{\left(10 x \right)}}{x \log{\left(10 x^{2} \right)}^{2} \sin{\left(10 x \right)}} + \frac{e^{x^{2}}}{x \log{\left(10 x^{2} \right)} \sin{\left(10 x \right)}} |
- 80 x^{2} | - 160 x |
\cos{\left(6 x^{2} \right)} | - 12 x \sin{\left(6 x^{2} \right)} |
\frac{\sin{\left(10 x^{3} \right)}}{\cos{\left(6 x^{3} \right)}} | \frac{18 x^{2} \sin{\left(6 x^{3} \right)} \sin{\left(10 x^{3} \right)}}{\cos^{2}{\left(6 x^{3} \right)}} + \frac{30 x^{2} \cos{\left(10 x^{3} \right)}}{\cos{\left(6 x^{3} \right)}} |
\frac{\log{\left(- 4 x^{3} \right)}}{9 x^{3} \cos{\left(4 x \right)}} | \frac{4 \log{\left(- 4 x^{3} \right)} \sin{\left(4 x \right)}}{9 x^{3} \cos^{2}{\left(4 x \right)}} - \frac{\log{\left(- 4 x^{3} \right)}}{3 x^{4} \cos{\left(4 x \right)}} + \frac{1}{3 x^{4} \cos{\left(4 x \right)}} |
\frac{\cos{\left(3 x^{2} \right)}}{7 x^{3} \cos{\left(2 x^{3} \right)}} | \frac{6 \sin{\left(2 x^{3} \right)} \cos{\left(3 x^{2} \right)}}{7 x \cos^{2}{\left(2 x^{3} \right)}} - \frac{6 \sin{\left(3 x^{2} \right)}}{7 x^{2} \cos{\left(2 x^{3} \right)}} - \frac{3 \cos{\left(3 x^{2} \right)}}{7 x^{4} \cos{\left(2 x^{3} \right)}} |
\frac{\log{\left(6 x^{3} \right)}}{\cos{\left(x^{3} \right)}} | \frac{3 x^{2} \log{\left(6 x^{3} \right)} \sin{\left(x^{3} \right)}}{\cos^{2}{\left(x^{3} \right)}} + \frac{3}{x \cos{\left(x^{3} \right)}} |
- \frac{7 x \log{\left(x^{2} \right)}}{\sin{\left(10 x^{3} \right)}} | \frac{210 x^{3} \log{\left(x^{2} \right)} \cos{\left(10 x^{3} \right)}}{\sin^{2}{\left(10 x^{3} \right)}} - \frac{7 \log{\left(x^{2} \right)}}{\sin{\left(10 x^{3} \right)}} - \frac{14}{\sin{\left(10 x^{3} \right)}} |
- \frac{6 x^{2} e^{8 x} \sin{\left(5 x^{2} \right)}}{\log{\left(- 4 x \right)}} | - \frac{60 x^{3} e^{8 x} \cos{\left(5 x^{2} \right)}}{\log{\left(- 4 x \right)}} - \frac{48 x^{2} e^{8 x} \sin{\left(5 x^{2} \right)}}{\log{\left(- 4 x \right)}} - \frac{12 x e^{8 x} \sin{\left(5 x^{2} \right)}}{\log{\left(- 4 x \right)}} + \frac{6 x e^{8 x} \sin{\left(5 x^{2} \right)}}{\log{\left(- 4 x \right)}^{2}} |
- 6 x^{3} e^{5 x^{3}} \cos{\left(8 x^{2} \right)} | - 90 x^{5} e^{5 x^{3}} \cos{\left(8 x^{2} \right)} + 96 x^{4} e^{5 x^{3}} \sin{\left(8 x^{2} \right)} - 18 x^{2} e^{5 x^{3}} \cos{\left(8 x^{2} \right)} |
e^{9 x^{3}} \log{\left(- 8 x^{2} \right)} | 27 x^{2} e^{9 x^{3}} \log{\left(- 8 x^{2} \right)} + \frac{2 e^{9 x^{3}}}{x} |
\frac{\sin{\left(10 x^{3} \right)}}{5 x^{2}} | 6 \cos{\left(10 x^{3} \right)} - \frac{2 \sin{\left(10 x^{3} \right)}}{5 x^{3}} |
- \frac{1}{7} | 0 |
\frac{3}{2 x^{2} \log{\left(8 x^{3} \right)}} | - \frac{3}{x^{3} \log{\left(8 x^{3} \right)}} - \frac{9}{2 x^{3} \log{\left(8 x^{3} \right)}^{2}} |
- \frac{3 x e^{- 5 x^{2}} \cos{\left(7 x^{3} \right)}}{\sin{\left(6 x \right)}} | \frac{63 x^{3} e^{- 5 x^{2}} \sin{\left(7 x^{3} \right)}}{\sin{\left(6 x \right)}} + \frac{30 x^{2} e^{- 5 x^{2}} \cos{\left(7 x^{3} \right)}}{\sin{\left(6 x \right)}} + \frac{18 x e^{- 5 x^{2}} \cos{\left(6 x \right)} \cos{\left(7 x^{3} \right)}}{\sin^{2}{\left(6 x \right)}} - \frac{3 e^{- 5 x^{2}} \cos{\left(7 x^{3} \right)}}{\sin{\left(6 x \right)}} |
- \frac{9 x^{3}}{\log{\left(- 3 x^{2} \right)}} | - \frac{27 x^{2}}{\log{\left(- 3 x^{2} \right)}} + \frac{18 x^{2}}{\log{\left(- 3 x^{2} \right)}^{2}} |
- \frac{8 x^{3}}{\log{\left(- 3 x^{3} \right)} \cos{\left(7 x^{3} \right)}} | - \frac{168 x^{5} \sin{\left(7 x^{3} \right)}}{\log{\left(- 3 x^{3} \right)} \cos^{2}{\left(7 x^{3} \right)}} - \frac{24 x^{2}}{\log{\left(- 3 x^{3} \right)} \cos{\left(7 x^{3} \right)}} + \frac{24 x^{2}}{\log{\left(- 3 x^{3} \right)}^{2} \cos{\left(7 x^{3} \right)}} |
e^{10 x^{2}} \log{\left(- x^{2} \right)} \log{\left(8 x^{2} \right)} | 20 x e^{10 x^{2}} \log{\left(- x^{2} \right)} \log{\left(8 x^{2} \right)} + \frac{2 e^{10 x^{2}} \log{\left(- x^{2} \right)}}{x} + \frac{2 e^{10 x^{2}} \log{\left(8 x^{2} \right)}}{x} |
e^{3 x} \sin{\left(7 x \right)} | 3 e^{3 x} \sin{\left(7 x \right)} + 7 e^{3 x} \cos{\left(7 x \right)} |
- \frac{10 x^{3} \cos{\left(x \right)}}{\cos{\left(3 x^{2} \right)}} | - \frac{60 x^{4} \sin{\left(3 x^{2} \right)} \cos{\left(x \right)}}{\cos^{2}{\left(3 x^{2} \right)}} + \frac{10 x^{3} \sin{\left(x \right)}}{\cos{\left(3 x^{2} \right)}} - \frac{30 x^{2} \cos{\left(x \right)}}{\cos{\left(3 x^{2} \right)}} |
- 3 x^{3} \sin{\left(x^{2} \right)} | - 6 x^{4} \cos{\left(x^{2} \right)} - 9 x^{2} \sin{\left(x^{2} \right)} |
12 x^{3} \log{\left(2 x \right)} | 36 x^{2} \log{\left(2 x \right)} + 12 x^{2} |
- \frac{\cos{\left(6 x^{3} \right)}}{7 x} | \frac{18 x \sin{\left(6 x^{3} \right)}}{7} + \frac{\cos{\left(6 x^{3} \right)}}{7 x^{2}} |
- \frac{3}{4 x \sin{\left(4 x^{2} \right)}} | \frac{6 \cos{\left(4 x^{2} \right)}}{\sin^{2}{\left(4 x^{2} \right)}} + \frac{3}{4 x^{2} \sin{\left(4 x^{2} \right)}} |
\frac{e^{3 x} e^{2 x^{3}}}{\log{\left(- 2 x \right)}} | \frac{6 x^{2} e^{3 x} e^{2 x^{3}}}{\log{\left(- 2 x \right)}} + \frac{3 e^{3 x} e^{2 x^{3}}}{\log{\left(- 2 x \right)}} - \frac{e^{3 x} e^{2 x^{3}}}{x \log{\left(- 2 x \right)}^{2}} |
- e^{2 x^{2}} \sin{\left(7 x \right)} \cos{\left(9 x \right)} | - 4 x e^{2 x^{2}} \sin{\left(7 x \right)} \cos{\left(9 x \right)} + 9 e^{2 x^{2}} \sin{\left(7 x \right)} \sin{\left(9 x \right)} - 7 e^{2 x^{2}} \cos{\left(7 x \right)} \cos{\left(9 x \right)} |
24 x^{4} | 96 x^{3} |
\frac{\log{\left(4 x \right)}}{\log{\left(2 x^{2} \right)}} | - \frac{2 \log{\left(4 x \right)}}{x \log{\left(2 x^{2} \right)}^{2}} + \frac{1}{x \log{\left(2 x^{2} \right)}} |
- e^{x} \sin{\left(2 x^{2} \right)} | - 4 x e^{x} \cos{\left(2 x^{2} \right)} - e^{x} \sin{\left(2 x^{2} \right)} |
\frac{x^{2} \log{\left(- 2 x^{2} \right)}}{\sin{\left(7 x^{2} \right)} \sin{\left(4 x^{3} \right)}} | - \frac{12 x^{4} \log{\left(- 2 x^{2} \right)} \cos{\left(4 x^{3} \right)}}{\sin{\left(7 x^{2} \right)} \sin^{2}{\left(4 x^{3} \right)}} - \frac{14 x^{3} \log{\left(- 2 x^{2} \right)} \cos{\left(7 x^{2} \right)}}{\sin^{2}{\left(7 x^{2} \right)} \sin{\left(4 x^{3} \right)}} + \frac{2 x \log{\left(- 2 x^{2} \right)}}{\sin{\left(7 x^{2} \right)} \sin{\left(4 x^{3} \right)}} + \frac{2 x}{\sin{\left(7 x^{2} \right)} \sin{\left(4 x^{3} \right)}} |
0 | 0 |
\frac{e^{- 3 x^{3}}}{\cos{\left(7 x^{3} \right)}} | \frac{21 x^{2} e^{- 3 x^{3}} \sin{\left(7 x^{3} \right)}}{\cos^{2}{\left(7 x^{3} \right)}} - \frac{9 x^{2} e^{- 3 x^{3}}}{\cos{\left(7 x^{3} \right)}} |
e^{- 5 x} e^{- x^{3}} \cos{\left(8 x^{3} \right)} | - 24 x^{2} e^{- 5 x} e^{- x^{3}} \sin{\left(8 x^{3} \right)} - 3 x^{2} e^{- 5 x} e^{- x^{3}} \cos{\left(8 x^{3} \right)} - 5 e^{- 5 x} e^{- x^{3}} \cos{\left(8 x^{3} \right)} |
- \frac{\sin{\left(5 x \right)}}{\sin{\left(3 x^{3} \right)}} | \frac{9 x^{2} \sin{\left(5 x \right)} \cos{\left(3 x^{3} \right)}}{\sin^{2}{\left(3 x^{3} \right)}} - \frac{5 \cos{\left(5 x \right)}}{\sin{\left(3 x^{3} \right)}} |
1 | 0 |
- e^{- 6 x^{2}} \sin{\left(6 x^{3} \right)} | - 18 x^{2} e^{- 6 x^{2}} \cos{\left(6 x^{3} \right)} + 12 x e^{- 6 x^{2}} \sin{\left(6 x^{3} \right)} |
0 | 0 |
- \frac{\sin{\left(x \right)} \cos{\left(8 x^{2} \right)}}{\sin{\left(9 x^{2} \right)}} | \frac{16 x \sin{\left(x \right)} \sin{\left(8 x^{2} \right)}}{\sin{\left(9 x^{2} \right)}} + \frac{18 x \sin{\left(x \right)} \cos{\left(8 x^{2} \right)} \cos{\left(9 x^{2} \right)}}{\sin^{2}{\left(9 x^{2} \right)}} - \frac{\cos{\left(x \right)} \cos{\left(8 x^{2} \right)}}{\sin{\left(9 x^{2} \right)}} |
- 32 x^{2} | - 64 x |
- \frac{16 x^{2}}{5 \sin{\left(7 x^{3} \right)}} | \frac{336 x^{4} \cos{\left(7 x^{3} \right)}}{5 \sin^{2}{\left(7 x^{3} \right)}} - \frac{32 x}{5 \sin{\left(7 x^{3} \right)}} |
e^{4 x} \cos{\left(5 x^{3} \right)} | - 15 x^{2} e^{4 x} \sin{\left(5 x^{3} \right)} + 4 e^{4 x} \cos{\left(5 x^{3} \right)} |
- \frac{e^{- 2 x} \sin{\left(5 x^{2} \right)}}{7 x} | - \frac{10 e^{- 2 x} \cos{\left(5 x^{2} \right)}}{7} + \frac{2 e^{- 2 x} \sin{\left(5 x^{2} \right)}}{7 x} + \frac{e^{- 2 x} \sin{\left(5 x^{2} \right)}}{7 x^{2}} |
- 40 x^{2} e^{5 x} | - 200 x^{2} e^{5 x} - 80 x e^{5 x} |
- \frac{\log{\left(- 3 x \right)}}{48 x^{4}} | \frac{\log{\left(- 3 x \right)}}{12 x^{5}} - \frac{1}{48 x^{5}} |
- x^{3} \cos{\left(4 x \right)} | 4 x^{3} \sin{\left(4 x \right)} - 3 x^{2} \cos{\left(4 x \right)} |
- \frac{40 x^{4}}{7} | - \frac{160 x^{3}}{7} |
4 x^{2} e^{- 5 x^{2}} \cos{\left(3 x^{2} \right)} | - 24 x^{3} e^{- 5 x^{2}} \sin{\left(3 x^{2} \right)} - 40 x^{3} e^{- 5 x^{2}} \cos{\left(3 x^{2} \right)} + 8 x e^{- 5 x^{2}} \cos{\left(3 x^{2} \right)} |
\frac{4 x^{2}}{3 \log{\left(8 x \right)}} | \frac{8 x}{3 \log{\left(8 x \right)}} - \frac{4 x}{3 \log{\left(8 x \right)}^{2}} |
\frac{\sin{\left(9 x^{3} \right)}}{8 x^{3} \log{\left(- 4 x \right)} \cos{\left(4 x \right)}} | \frac{27 \cos{\left(9 x^{3} \right)}}{8 x \log{\left(- 4 x \right)} \cos{\left(4 x \right)}} + \frac{\sin{\left(4 x \right)} \sin{\left(9 x^{3} \right)}}{2 x^{3} \log{\left(- 4 x \right)} \cos^{2}{\left(4 x \right)}} - \frac{3 \sin{\left(9 x^{3} \right)}}{8 x^{4} \log{\left(- 4 x \right)} \cos{\left(4 x \right)}} - \frac{\sin{\left(9 x^{3} \right)}}{8 x^{4} \log{\left(- 4 x \right)}^{2} \cos{\left(4 x \right)}} |
\frac{4}{7 x^{4}} | - \frac{16}{7 x^{5}} |
e^{7 x^{3}} \sin{\left(3 x \right)} | 21 x^{2} e^{7 x^{3}} \sin{\left(3 x \right)} + 3 e^{7 x^{3}} \cos{\left(3 x \right)} |
\frac{16 x^{4}}{9} | \frac{64 x^{3}}{9} |
3 x^{2} e^{2 x^{2}} | 12 x^{3} e^{2 x^{2}} + 6 x e^{2 x^{2}} |
\frac{4 x^{2} e^{- 7 x}}{\cos{\left(3 x^{3} \right)}} | \frac{36 x^{4} e^{- 7 x} \sin{\left(3 x^{3} \right)}}{\cos^{2}{\left(3 x^{3} \right)}} - \frac{28 x^{2} e^{- 7 x}}{\cos{\left(3 x^{3} \right)}} + \frac{8 x e^{- 7 x}}{\cos{\left(3 x^{3} \right)}} |
5 x^{6} \sin{\left(9 x^{3} \right)} | 135 x^{8} \cos{\left(9 x^{3} \right)} + 30 x^{5} \sin{\left(9 x^{3} \right)} |
e^{- 9 x^{2}} \cos{\left(4 x \right)} | - 18 x e^{- 9 x^{2}} \cos{\left(4 x \right)} - 4 e^{- 9 x^{2}} \sin{\left(4 x \right)} |
\frac{1}{\cos{\left(10 x \right)}} | \frac{10 \sin{\left(10 x \right)}}{\cos^{2}{\left(10 x \right)}} |
7 x^{2} e^{5 x^{2}} \cos{\left(8 x \right)} \cos{\left(10 x^{2} \right)} | - 140 x^{3} e^{5 x^{2}} \sin{\left(10 x^{2} \right)} \cos{\left(8 x \right)} + 70 x^{3} e^{5 x^{2}} \cos{\left(8 x \right)} \cos{\left(10 x^{2} \right)} - 56 x^{2} e^{5 x^{2}} \sin{\left(8 x \right)} \cos{\left(10 x^{2} \right)} + 14 x e^{5 x^{2}} \cos{\left(8 x \right)} \cos{\left(10 x^{2} \right)} |
\frac{3 \log{\left(- 10 x^{3} \right)}}{10 \sin{\left(6 x^{3} \right)}} | - \frac{27 x^{2} \log{\left(- 10 x^{3} \right)} \cos{\left(6 x^{3} \right)}}{5 \sin^{2}{\left(6 x^{3} \right)}} + \frac{9}{10 x \sin{\left(6 x^{3} \right)}} |
- \frac{2 e^{8 x}}{3 x} | - \frac{16 e^{8 x}}{3 x} + \frac{2 e^{8 x}}{3 x^{2}} |
- x e^{- 7 x^{2}} \sin{\left(4 x \right)} | 14 x^{2} e^{- 7 x^{2}} \sin{\left(4 x \right)} - 4 x e^{- 7 x^{2}} \cos{\left(4 x \right)} - e^{- 7 x^{2}} \sin{\left(4 x \right)} |
10 x^{5} | 50 x^{4} |
49 x^{2} e^{10 x} e^{7 x^{2}} | 686 x^{3} e^{10 x} e^{7 x^{2}} + 490 x^{2} e^{10 x} e^{7 x^{2}} + 98 x e^{10 x} e^{7 x^{2}} |
4 x^{3} \log{\left(- 9 x^{3} \right)} | 12 x^{2} \log{\left(- 9 x^{3} \right)} + 12 x^{2} |
- \frac{x e^{- 8 x^{2}}}{2 \cos{\left(3 x \right)}} | \frac{8 x^{2} e^{- 8 x^{2}}}{\cos{\left(3 x \right)}} - \frac{3 x e^{- 8 x^{2}} \sin{\left(3 x \right)}}{2 \cos^{2}{\left(3 x \right)}} - \frac{e^{- 8 x^{2}}}{2 \cos{\left(3 x \right)}} |
\frac{10 x \log{\left(10 x \right)}}{\cos{\left(2 x \right)}} | \frac{20 x \log{\left(10 x \right)} \sin{\left(2 x \right)}}{\cos^{2}{\left(2 x \right)}} + \frac{10 \log{\left(10 x \right)}}{\cos{\left(2 x \right)}} + \frac{10}{\cos{\left(2 x \right)}} |
\frac{9}{2} | 0 |
- e^{- 9 x^{3}} \sin{\left(10 x^{2} \right)} | 27 x^{2} e^{- 9 x^{3}} \sin{\left(10 x^{2} \right)} - 20 x e^{- 9 x^{3}} \cos{\left(10 x^{2} \right)} |
- \frac{18 x^{4} e^{5 x}}{\log{\left(- x \right)}} | - \frac{90 x^{4} e^{5 x}}{\log{\left(- x \right)}} - \frac{72 x^{3} e^{5 x}}{\log{\left(- x \right)}} + \frac{18 x^{3} e^{5 x}}{\log{\left(- x \right)}^{2}} |
- 6 x^{2} \log{\left(x \right)} \cos{\left(10 x \right)} | 60 x^{2} \log{\left(x \right)} \sin{\left(10 x \right)} - 12 x \log{\left(x \right)} \cos{\left(10 x \right)} - 6 x \cos{\left(10 x \right)} |
- \frac{e^{6 x} \sin{\left(10 x^{2} \right)} \sin{\left(7 x^{3} \right)}}{10 x} | - \frac{21 x e^{6 x} \sin{\left(10 x^{2} \right)} \cos{\left(7 x^{3} \right)}}{10} - 2 e^{6 x} \sin{\left(7 x^{3} \right)} \cos{\left(10 x^{2} \right)} - \frac{3 e^{6 x} \sin{\left(10 x^{2} \right)} \sin{\left(7 x^{3} \right)}}{5 x} + \frac{e^{6 x} \sin{\left(10 x^{2} \right)} \sin{\left(7 x^{3} \right)}}{10 x^{2}} |
- \frac{7 x^{2} \cos{\left(5 x^{3} \right)}}{10} | \frac{21 x^{4} \sin{\left(5 x^{3} \right)}}{2} - \frac{7 x \cos{\left(5 x^{3} \right)}}{5} |
- 7 x e^{3 x^{3}} \log{\left(6 x^{2} \right)} | - 63 x^{3} e^{3 x^{3}} \log{\left(6 x^{2} \right)} - 7 e^{3 x^{3}} \log{\left(6 x^{2} \right)} - 14 e^{3 x^{3}} |
0 | 0 |
\frac{x^{2} \sin{\left(5 x \right)}}{\log{\left(- 7 x^{2} \right)} \sin{\left(9 x \right)}} | - \frac{9 x^{2} \sin{\left(5 x \right)} \cos{\left(9 x \right)}}{\log{\left(- 7 x^{2} \right)} \sin^{2}{\left(9 x \right)}} + \frac{5 x^{2} \cos{\left(5 x \right)}}{\log{\left(- 7 x^{2} \right)} \sin{\left(9 x \right)}} + \frac{2 x \sin{\left(5 x \right)}}{\log{\left(- 7 x^{2} \right)} \sin{\left(9 x \right)}} - \frac{2 x \sin{\left(5 x \right)}}{\log{\left(- 7 x^{2} \right)}^{2} \sin{\left(9 x \right)}} |
- \frac{e^{6 x^{3}} \sin{\left(7 x \right)}}{x^{2}} | - 18 e^{6 x^{3}} \sin{\left(7 x \right)} - \frac{7 e^{6 x^{3}} \cos{\left(7 x \right)}}{x^{2}} + \frac{2 e^{6 x^{3}} \sin{\left(7 x \right)}}{x^{3}} |
-5 | 0 |
- \frac{\cos{\left(6 x^{3} \right)}}{7 x^{2}} | \frac{18 \sin{\left(6 x^{3} \right)}}{7} + \frac{2 \cos{\left(6 x^{3} \right)}}{7 x^{3}} |
\frac{9 x^{2}}{\log{\left(9 x \right)}} | \frac{18 x}{\log{\left(9 x \right)}} - \frac{9 x}{\log{\left(9 x \right)}^{2}} |
- 2 x^{3} \sin{\left(3 x^{2} \right)} | - 12 x^{4} \cos{\left(3 x^{2} \right)} - 6 x^{2} \sin{\left(3 x^{2} \right)} |
- \frac{e^{6 x^{3}}}{3 x^{2} \log{\left(6 x^{3} \right)} \sin{\left(10 x^{2} \right)}} | - \frac{6 e^{6 x^{3}}}{\log{\left(6 x^{3} \right)} \sin{\left(10 x^{2} \right)}} + \frac{20 e^{6 x^{3}} \cos{\left(10 x^{2} \right)}}{3 x \log{\left(6 x^{3} \right)} \sin^{2}{\left(10 x^{2} \right)}} + \frac{2 e^{6 x^{3}}}{3 x^{3} \log{\left(6 x^{3} \right)} \sin{\left(10 x^{2} \right)}} + \frac{e^{6 x^{3}}}{x^{3} \log{\left(6 x^{3} \right)}^{2} \sin{\left(10 x^{2} \right)}} |
0 | 0 |
Subsets and Splits