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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. 445.0( 1 Vote )

If y = cos^–1

Class 12th RD Sharma - Volume 1 11. Differentiation

Answer :

Put 2x = cos θ

y = cos^–1(cosθ) + 2cos^–1(sinθ )

Considering the limits

–1 < 2x < 0

–1 < cosθ < 0

Now,

y = –π + cos^–1(2x)

Differentiating w.r.t x we get

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