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RD Sharma - Volume 1

11. Differentiation

Exercise 11.1

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Exercise 11.2

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Exercise 11.3

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Exercise 11.4

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Exercise 11.5

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Exercise 11.6

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Exercise 11.7

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Exercise 11.8

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MCQ

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Very short answer

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Q. 67

If y = e^x</s

Class 12th RD Sharma - Volume 1 11. Differentiation

Answer :

Given y = e^xcos(x)

On differentiating y with respect to x, we get

Recall that (uv)’ = vu’ + uv’ (product rule)

We know and

[chain rule]

We know

However, cos(A)cos(B) – sin(A)sin(B) = cos(A + B)

Thus,

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