CBSE

MATHEMATICS · Multi-part · CBSE · Mathematics · Continuity and Differentiability · Continuity and Differentiability

Problem

Let

y=\big[(x^{2}+1)(x-2)^{3}\big]^{\sqrt{x}}

for

x>2

. (i) Obtain

\dfrac{dy}{dx}

, simplifying the result as far as possible. (ii) Using your answer to part (i), find the numerical value of

\dfrac{dy}{dx}

when

x=3

. (Give your answer correct to three significant figures.)

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