Mathematics

Problem

Let

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

, where

x\in\mathbb R

. a. (i) Find

\dfrac{dy}{dx}

. b. (ii) Obtain

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

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

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

x=0