{"segments": [{"id": 1, "seek": 5034, "start": 21.08, "end": 50.34, "text": "بسم الله الرحمن الرحيم في ال two sections الماضية كنا بنتحدث فقط عن اللي هو الاشتقاق من خلال التعريف اليوم بدنا نذكر القواعد الاشتقاق اللي خدتها في الثانوية العامة زي ما أنت شايف لا يوجد فيها حرف جديد وإنما توذكر بمدرسة في الثانوية العامة بعد ذلك سنذهب إلى أمثلة توضيحية على القواعد اللي موجودة عندنا", "tokens": [3555, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 8978, 2423, 732, 10863, 9673, 46958, 10632, 9122, 8315, 44945, 2655, 24401, 12984, 6156, 47432, 18871, 13672, 1829, 31439, 2423, 33599, 2655, 4587, 995, 4587, 9154, 16490, 1211, 6027, 16712, 3615, 16572, 5172, 45595, 20498, 47525, 8315, 8717, 8848, 37983, 25062, 14407, 22488, 2423, 33599, 2655, 4587, 995, 4587, 13672, 1829, 16490, 3215, 2655, 11296, 8978, 6024, 104, 7649, 2407, 10632, 18863, 10943, 3660, 30767, 1829, 19446, 14739, 2655, 13412, 995, 33911, 20193, 7251, 29245, 3215, 8978, 11296, 11331, 28480, 10874, 16254, 3215, 4032, 28814, 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خاصة منه قلنا in particular كحالة خاصة مشتقة واحد على V يعني لو كانت ال U ده اللي ثابت اللي هو بالواحد الصحيح", "tokens": [45340, 4587, 10943, 8978, 37893, 2655, 28671, 2423, 39184, 1255, 8717, 995, 4587, 9381, 2423, 39184, 1255, 8978, 37893, 2655, 28671, 9673, 4587, 10943, 15844, 3714, 25513, 3615, 9673, 4587, 10943, 16247, 9381, 20292, 8717, 47283, 3215, 2121, 1389, 11331, 6027, 3660, 16490, 33546, 3660, 9154, 3224, 12174, 1211, 8315, 294, 1729, 9122, 5016, 6027, 3660, 16490, 33546, 3660, 37893, 2655, 28671, 36764, 24401, 15844, 691, 37495, 22653, 45164, 25961, 2655, 2423, 624, 11778, 3224, 13672, 1829, 38637, 16758, 2655, 13672, 1829, 31439, 20666, 14407, 24401, 31767, 5016, 1829, 5016], "avg_logprob": -0.13032280318029635, "compression_ratio": 1.82010582010582, "no_speech_prob": 2.384185791015625e-07, "words": [{"start": 313.41, "end": 314.41, "word": "المقام", "probability": 0.8052571614583334}, {"start": 314.41, "end": 314.83, "word": " في", "probability": 0.86083984375}, 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369.15, "end": 369.73, "word": " الأصلي", "probability": 0.96337890625}, {"start": 369.73, "end": 369.99, "word": " اللي", "probability": 0.97802734375}, {"start": 369.99, "end": 370.19, "word": " هو", "probability": 0.8525390625}, {"start": 370.19, "end": 370.49, "word": " main", "probability": 0.51416015625}], "temperature": 1.0}, {"id": 16, "seek": 39064, "start": 386.32, "end": 390.64, "text": "بالتالي ماعنديش أي تغيير في مثل هذه الحالة", "tokens": [3555, 6027, 2655, 6027, 1829, 19446, 3615, 1863, 16254, 8592, 36632, 6055, 17082, 1829, 13546, 8978, 50113, 1211, 29538, 21542, 6027, 3660], "avg_logprob": -0.41881794514863385, "compression_ratio": 1.0694444444444444, "no_speech_prob": 1.6689300537109375e-06, "words": [{"start": 386.32, "end": 387.3, "word": "بالتالي", "probability": 0.57196044921875}, {"start": 387.3, "end": 388.1, "word": " ماعنديش", "probability": 0.63204345703125}, {"start": 388.1, "end": 388.4, "word": " أي", "probability": 0.52490234375}, {"start": 388.4, "end": 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الرمز هذا او دي square ي على دي اكس square و هكذا لو اد المشتقة التالتة ي يساوي دي تكييب ي على دي اكس تكييب and so on لغاية ما اوصل للمشتقة انها دي مش y مرفوعة للأس n وانما y to the derivative n", "tokens": [6027, 20292, 11778, 1829, 15844, 11778, 1829, 1975, 4117, 3794, 5296, 16254, 7251, 15844, 11778, 1829, 1975, 4117, 3794, 1975, 15042, 4724, 45761, 9566, 1829, 11296, 34892, 2304, 11622, 23758, 1975, 2407, 34892, 2304, 11622, 23758, 1975, 2407, 11778, 1829, 3732, 7251, 15844, 11778, 1829, 1975, 4117, 3794, 3732, 4032, 8032, 4117, 15730, 45164, 1975, 3215, 9673, 8592, 2655, 28671, 16712, 6027, 2655, 3660, 7251, 7251, 3794, 995, 45865, 11778, 1829, 6055, 4117, 1829, 1829, 3555, 7251, 15844, 11778, 1829, 1975, 4117, 3794, 6055, 4117, 1829, 1829, 3555, 293, 370, 322, 5296, 17082, 995, 10632, 19446, 1975, 2407, 36520, 5296, 19528, 8592, 2655, 28671, 16472, 11296, 11778, 1829, 37893, 288, 3714, 28480, 2407, 27884, 24976, 10721, 3794, 297, 4032, 7649, 15042, 288, 281, 264, 13760, 297], 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"word": " اكس", "probability": 0.9684244791666666}, {"start": 438.17, "end": 438.61, "word": " square", "probability": 0.79248046875}, {"start": 438.61, "end": 438.81, "word": " و", "probability": 0.66455078125}, {"start": 438.81, "end": 439.39, "word": " هكذا", "probability": 0.8069661458333334}, {"start": 439.39, "end": 440.05, "word": " لو", "probability": 0.9375}, {"start": 440.05, "end": 440.25, "word": " اد", "probability": 0.448486328125}, {"start": 440.25, "end": 441.09, "word": " المشتقة", "probability": 0.822265625}, {"start": 441.09, "end": 441.99, "word": " التالتة", "probability": 0.8331298828125}, {"start": 441.99, "end": 442.17, "word": " ي", "probability": 0.77783203125}, {"start": 442.17, "end": 444.29, "word": " يساوي", "probability": 0.68170166015625}, {"start": 444.29, "end": 444.65, "word": " دي", "probability": 0.739013671875}, {"start": 444.65, "end": 445.19, "word": " تكييب", "probability": 0.9005859375}, {"start": 445.19, "end": 445.43, "word": " ي", "probability": 0.80615234375}, {"start": 445.43, "end": 445.77, "word": " على", "probability": 0.82568359375}, {"start": 445.77, "end": 446.11, "word": " دي", "probability": 0.965087890625}, {"start": 446.11, "end": 446.37, "word": " اكس", "probability": 0.9861653645833334}, {"start": 446.37, "end": 446.89, "word": " تكييب", "probability": 0.965625}, {"start": 446.89, "end": 447.11, "word": " and", "probability": 0.45556640625}, {"start": 447.11, "end": 447.39, "word": " so", "probability": 0.90185546875}, {"start": 447.39, "end": 447.73, "word": " on", "probability": 0.9599609375}, {"start": 447.73, "end": 448.47, "word": " لغاية", "probability": 0.97705078125}, {"start": 448.47, "end": 448.69, "word": " ما", "probability": 0.71923828125}, {"start": 448.69, "end": 449.03, "word": " اوصل", "probability": 0.7779947916666666}, {"start": 449.03, "end": 449.89, "word": " للمشتقة", "probability": 0.9240234375}, {"start": 449.89, "end": 450.57, "word": " انها", "probability": 0.3394775390625}, {"start": 450.57, "end": 451.07, "word": " دي", "probability": 0.7890625}, {"start": 451.07, "end": 451.39, "word": " مش", "probability": 0.9736328125}, {"start": 451.39, "end": 451.77, "word": " y", "probability": 0.284423828125}, {"start": 451.77, "end": 452.25, "word": " مرفوعة", "probability": 0.830322265625}, {"start": 452.25, "end": 452.89, "word": " للأس", "probability": 0.7159830729166666}, {"start": 452.89, "end": 453.37, "word": " n", "probability": 0.2303466796875}, {"start": 453.37, "end": 454.49, "word": " وانما", "probability": 0.8846028645833334}, {"start": 454.49, "end": 454.79, "word": " y", "probability": 0.9013671875}, {"start": 454.79, "end": 455.09, "word": " to", "probability": 0.9453125}, {"start": 455.09, "end": 455.35, "word": " the", "probability": 0.86962890625}, {"start": 455.35, "end": 455.99, "word": " derivative", "probability": 0.89697265625}, {"start": 455.99, "end": 456.59, "word": " n", "probability": 0.82470703125}], "temperature": 1.0}, {"id": 20, "seek": 48052, "start": 457.02, "end": 480.52, "text": "لما تشوف الانو بين قصين هذه تعني مشتقة ولا تعني قص يبقى y to the derivative ان هي dny على dxn يعني المشتقة النونية لدالة y بالنسبة لمن او لأكس example one بيقول find y prime for each of the following يبقى بنجيب المشتقة الأولى لكل مما يأتي", "tokens": [1211, 15042, 6055, 8592, 38688, 2423, 7649, 2407, 49374, 12174, 9381, 9957, 29538, 37279, 22653, 37893, 2655, 28671, 49429, 37279, 22653, 12174, 9381, 7251, 3555, 4587, 7578, 288, 281, 264, 13760, 16472, 39896, 274, 1634, 15844, 30017, 77, 37495, 22653, 9673, 8592, 2655, 28671, 28239, 11536, 10632, 5296, 3215, 6027, 3660, 288, 20666, 1863, 35457, 3660, 5296, 27842, 1975, 2407, 5296, 10721, 4117, 3794, 1365, 472, 4724, 1829, 39648, 915, 288, 5835, 337, 1184, 295, 264, 3480, 7251, 3555, 4587, 7578, 44945, 7435, 1829, 3555, 9673, 8592, 2655, 28671, 16247, 12610, 7578, 5296, 28820, 3714, 15042, 7251, 10721, 31371], "avg_logprob": -0.2806250077486038, "compression_ratio": 1.6008771929824561, "no_speech_prob": 0.0, "words": [{"start": 457.02, "end": 457.36, "word": "لما", "probability": 0.53118896484375}, {"start": 457.36, "end": 457.68, "word": " تشوف", "probability": 0.92529296875}, {"start": 457.68, "end": 458.1, "word": " الانو", "probability": 0.407958984375}, {"start": 458.1, "end": 458.36, "word": " بين", "probability": 0.98291015625}, {"start": 458.36, "end": 458.96, "word": " قصين", "probability": 0.8387044270833334}, {"start": 458.96, "end": 459.3, "word": " هذه", "probability": 0.38134765625}, {"start": 459.3, "end": 459.78, "word": " تعني", "probability": 0.87255859375}, {"start": 459.78, "end": 460.44, "word": " مشتقة", "probability": 0.8974609375}, {"start": 460.44, "end": 460.76, "word": " ولا", "probability": 0.7197265625}, {"start": 460.76, "end": 461.46, "word": " تعني", "probability": 0.8916015625}, {"start": 461.46, "end": 462.02, "word": " قص", "probability": 0.87158203125}, {"start": 462.02, "end": 462.84, "word": " يبقى", "probability": 0.8829345703125}, {"start": 462.84, "end": 463.06, "word": " y", "probability": 0.62109375}, {"start": 463.06, "end": 463.26, "word": " to", "probability": 0.72314453125}, {"start": 463.26, "end": 463.44, "word": " the", "probability": 0.89501953125}, {"start": 463.44, "end": 464.04, "word": " derivative", "probability": 0.90380859375}, {"start": 464.04, "end": 464.44, "word": " ان", "probability": 0.6240234375}, {"start": 464.44, "end": 464.72, "word": " هي", "probability": 0.650390625}, {"start": 464.72, "end": 465.66, "word": " dny", "probability": 0.656982421875}, {"start": 465.66, "end": 466.48, "word": " على", "probability": 0.41162109375}, {"start": 466.48, "end": 467.92, "word": " dxn", "probability": 0.867919921875}, {"start": 467.92, "end": 468.58, "word": " يعني", "probability": 0.9111328125}, {"start": 468.58, "end": 469.3, "word": " المشتقة", "probability": 0.93896484375}, {"start": 469.3, "end": 469.92, "word": " النونية", "probability": 0.686279296875}, {"start": 469.92, "end": 470.66, "word": " لدالة", "probability": 0.69427490234375}, {"start": 470.66, "end": 470.88, "word": " y", "probability": 0.94921875}, {"start": 470.88, "end": 471.4, "word": " بالنسبة", "probability": 0.9384765625}, {"start": 471.4, "end": 471.74, "word": " لمن", "probability": 0.3870849609375}, {"start": 471.74, "end": 472.32, "word": " او", "probability": 0.56134033203125}, {"start": 472.32, "end": 472.72, "word": " لأكس", "probability": 0.718505859375}, {"start": 472.72, "end": 473.74, "word": " example", "probability": 0.6591796875}, {"start": 473.74, "end": 474.14, "word": " one", "probability": 0.62451171875}, {"start": 474.14, "end": 474.42, "word": " بيقول", "probability": 0.6443684895833334}, {"start": 474.42, "end": 474.84, "word": " find", "probability": 0.787109375}, {"start": 474.84, "end": 475.16, "word": " y", "probability": 0.9697265625}, {"start": 475.16, "end": 475.52, "word": " prime", "probability": 0.71875}, {"start": 475.52, "end": 475.82, "word": " for", "probability": 0.95458984375}, {"start": 475.82, "end": 476.22, "word": " each", "probability": 0.96533203125}, {"start": 476.22, "end": 476.5, "word": " of", "probability": 0.9755859375}, {"start": 476.5, "end": 476.66, "word": " the", "probability": 0.92138671875}, {"start": 476.66, "end": 477.08, "word": " following", "probability": 0.86279296875}, {"start": 477.08, "end": 477.3, "word": " يبقى", "probability": 0.8873291015625}, {"start": 477.3, "end": 477.72, "word": " بنجيب", "probability": 0.87158203125}, {"start": 477.72, "end": 478.36, "word": " المشتقة", "probability": 0.992919921875}, {"start": 478.36, "end": 478.78, "word": " الأولى", "probability": 0.9324544270833334}, {"start": 478.78, "end": 479.28, "word": " لكل", "probability": 0.9765625}, {"start": 479.28, "end": 480.02, "word": " مما", "probability": 0.89111328125}, {"start": 480.02, "end": 480.52, "word": " يأتي", "probability": 0.9490559895833334}], "temperature": 1.0}, {"id": 21, "seek": 49392, "start": 480.92, "end": 493.92, "text": "النقطة الأولى Y تسوى أربعة جذر ال X ناقص خمسة على X بما نشتق باستخدام قواعد الاشتقاق اللي موجودة عندنا يبقى باجي بدون له solution", "tokens": [6027, 1863, 47432, 3660, 16247, 12610, 7578, 398, 6055, 3794, 2407, 7578, 5551, 25513, 27884, 10874, 8848, 2288, 2423, 1783, 8717, 995, 4587, 9381, 16490, 2304, 3794, 3660, 15844, 1783, 4724, 15042, 8717, 8592, 2655, 4587, 4724, 995, 14851, 9778, 3215, 10943, 12174, 14407, 22488, 2423, 33599, 2655, 4587, 995, 4587, 13672, 1829, 3714, 29245, 23328, 3660, 43242, 8315, 7251, 3555, 4587, 7578, 4724, 26108, 1829, 47525, 11536, 46740, 3827], "avg_logprob": -0.23063380743416262, "compression_ratio": 1.4387096774193548, "no_speech_prob": 0.0, "words": [{"start": 480.92, "end": 481.62, "word": "النقطة", "probability": 0.810791015625}, {"start": 481.62, "end": 481.96, "word": " الأولى", "probability": 0.8440755208333334}, {"start": 481.96, "end": 482.12, "word": " Y", "probability": 0.421630859375}, {"start": 482.12, "end": 482.64, "word": " تسوى", "probability": 0.6317138671875}, {"start": 482.64, "end": 483.12, "word": " أربعة", "probability": 0.7353515625}, {"start": 483.12, "end": 483.54, "word": " جذر", "probability": 0.84765625}, {"start": 483.54, "end": 483.7, "word": " ال", "probability": 0.451904296875}, {"start": 483.7, "end": 484.04, "word": " X", "probability": 0.712890625}, {"start": 484.04, "end": 484.64, "word": " ناقص", "probability": 0.8118896484375}, {"start": 484.64, "end": 485.38, "word": " خمسة", "probability": 0.97265625}, {"start": 485.38, "end": 486.2, "word": " على", "probability": 0.85986328125}, {"start": 486.2, "end": 486.84, "word": " X", "probability": 0.962890625}, {"start": 486.84, "end": 487.52, "word": " بما", "probability": 0.4527587890625}, {"start": 487.52, "end": 488.04, "word": " نشتق", "probability": 0.8441162109375}, {"start": 488.04, "end": 488.92, "word": " باستخدام", "probability": 0.9505208333333334}, {"start": 488.92, "end": 489.56, "word": " قواعد", "probability": 0.9147135416666666}, {"start": 489.56, "end": 490.34, "word": " الاشتقاق", "probability": 0.919921875}, {"start": 490.34, "end": 490.56, "word": " اللي", "probability": 0.8193359375}, {"start": 490.56, "end": 491.28, "word": " موجودة", "probability": 0.986572265625}, {"start": 491.28, "end": 492.04, "word": " عندنا", "probability": 0.849853515625}, {"start": 492.04, "end": 492.66, "word": " يبقى", "probability": 0.945068359375}, {"start": 492.66, "end": 492.92, "word": " باجي", "probability": 0.6412760416666666}, {"start": 492.92, "end": 493.28, "word": " بدون", "probability": 0.5501708984375}, {"start": 493.28, "end": 493.42, "word": " له", "probability": 0.7685546875}, {"start": 493.42, "end": 493.92, "word": " solution", "probability": 0.59375}], "temperature": 1.0}, {"id": 22, "seek": 52036, "start": 496.98, "end": 520.36, "text": "ممكن أشتق مباشرة و ممكن أروح أبسط الدالة ثم أقوم بعملية الاشتقاق فبدأت أقول Y' يساوية الأربعة مالاش دعوة اللي هي constant لقولنا مشتقة C في ال F of X يساوي C في مشتقة الدالة يبقى الأربعة مالاش دعوة الجذر ال X أخدناها قبل ذلك كمثال", "tokens": [2304, 43020, 5551, 8592, 2655, 4587, 3714, 3555, 33599, 25720, 4032, 3714, 43020, 5551, 32887, 5016, 5551, 3555, 3794, 9566, 32748, 6027, 3660, 38637, 2304, 5551, 4587, 20498, 4724, 25957, 1211, 10632, 2423, 33599, 2655, 4587, 995, 4587, 6156, 44510, 10721, 2655, 5551, 39648, 398, 6, 7251, 3794, 995, 2407, 10632, 16247, 25513, 27884, 3714, 6027, 33599, 11778, 3615, 2407, 3660, 13672, 1829, 39896, 5754, 5296, 39648, 8315, 37893, 2655, 28671, 383, 8978, 2423, 479, 295, 1783, 7251, 3794, 995, 45865, 383, 8978, 37893, 2655, 28671, 32748, 6027, 3660, 7251, 3555, 4587, 7578, 16247, 25513, 27884, 3714, 6027, 33599, 11778, 3615, 2407, 3660, 25724, 8848, 2288, 2423, 1783, 5551, 9778, 3215, 8315, 11296, 12174, 36150, 29910, 23275, 9122, 2304, 12984, 6027], "avg_logprob": -0.22502561780761499, "compression_ratio": 1.9043062200956937, "no_speech_prob": 0.0, "words": 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{"start": 504.68, "end": 506.16, "word": " فبدأت", "probability": 0.46893310546875}, {"start": 506.16, "end": 506.5, "word": " أقول", "probability": 0.9150390625}, {"start": 506.5, "end": 506.96, "word": " Y'", "probability": 0.39501953125}, {"start": 507.62, "end": 508.3, "word": " يساوية", "probability": 0.6550537109375}, {"start": 508.3, "end": 508.88, "word": " الأربعة", "probability": 0.76953125}, {"start": 508.88, "end": 509.28, "word": " مالاش", "probability": 0.6089680989583334}, {"start": 509.28, "end": 509.62, "word": " دعوة", "probability": 0.9400634765625}, {"start": 509.62, "end": 509.78, "word": " اللي", "probability": 0.6207275390625}, {"start": 509.78, "end": 509.88, "word": " هي", "probability": 0.642578125}, {"start": 509.88, "end": 510.38, "word": " constant", "probability": 0.173828125}, {"start": 510.38, "end": 511.48, "word": " لقولنا", "probability": 0.5560709635416666}, {"start": 511.48, "end": 512.1, "word": " مشتقة", "probability": 0.8883463541666666}, 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