For , answer the…

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

Problem

For y=ln⁡(sin⁡(5x2+4x+1))y=\ln\bigl(\sin\bigl(\sqrt{5x^{2}+4x+1}\bigr)\bigr), answer the following. (i) Find dydx\dfrac{dy}{dx}, simplifying your result as far as possible. (ii) Hence calculate dydx\dfrac{dy}{dx} at x=0x=0. (Leave your answer in exact form.)

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