यदि f(x) = esin x हो तो f(x) का अवकलज क्या है?

  1. (sin x)esin x
  2. (cos x)esin x
  3. (sec x)esin x
  4. (cosec x)esin x

Answer (Detailed Solution Below)

Option 2 : (cos x)esin x
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Detailed Solution

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अवधारणा:

अवकलज नियम:

माना y = ef(x) हो तो

गणना:

दिया गया है, f(x) = esin x

x के सबंध में दोनों पक्षों का अवकलज लेने पर, हम निम्न प्राप्त करते हैं

⇒f'(x) = (esin x)

⇒f'(x) = esin x 

⇒f'(x) = esin x 

⇒f'(x) = esin x 

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