CBSE

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

Problem

Let

y=\bigl[\tan^{-1}\bigl((2x+3)^{5}\bigr)\bigr]^{4}

. (i) Differentiate

y

with respect to

x

. (ii) Simplify the derivative obtained in part (i) so that no trigonometric function appears inside an inverse trigonometric function.

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