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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. 165.0( 2 Votes )

If y = x^x</s

Class 12th RD Sharma - Volume 1 11. Differentiation

Answer :

y = x^x

Taking logarithm on both sides,

log y = x log x

Differentiating w.r.t. x on both sides,

=1+log x

=x^x (1+log x)

So, at x = e,

=e^e (1+1)

=2e^e (Ans)

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