Consider the function .

MATHEMATICS · Multi-part · A Level · Mathematics · Differentiation · Differentiation

Problem

Consider the function

y = \bigl(\sin(3x^2 + 1)\bigr)^5

. (i) Find

\dfrac{dy}{dx}

. (ii) Hence determine

\dfrac{d^2y}{dx^2}

and simplify the result completely.

Related theory

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