Let , where…

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

Problem

Let

y=e^{x^{2}+2x}

, where

x\in\mathbb R

. (i) Find

\dfrac{dy}{dx}

. (ii) Obtain

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

and simplify your answer as far as possible. (iii) Evaluate

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

at

x=0

.

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