यदि y = sin (cos2 x2), तो  ज्ञात कीजिए।

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Airforce Group X 12 Jul 2021 Shift 1 Memory Based Paper
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  1. 2xcos (cos2 x2) cos x2 sin x2
  2. 4xcos (cos2 x2) cos x2 sin x2
  3. -4xcos (cos2 x2) cos x2 sin x2
  4. इनमें से कोई नहीं

Answer (Detailed Solution Below)

Option 3 : -4xcos (cos2 x2) cos x2 sin x2
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General Knowledge for All Defence Exams (शूरवीर): Special Live Test
20 Qs. 20 Marks 16 Mins

Detailed Solution

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अवधारणा:

त्रिकोणमितीय फलनों के अवकलज:

अवकलजों का श्रृंखला नियम:


गणना:

हमारे पास y = sin (cos2 x2) है।

x के संबंध में अवकलन करते हुए हम प्राप्त करते हैं:

= [cos (cos2 x2)] × (2 cos x2 (-sin x2)) (2x)

= -4xcos (cos2 x2) cos x2 sin x2

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