Question

Find second order derivative of e^xsinx

Answer 1

Answer:

$\frac{dy}{dx} = {e}^{x} cosx + {e}^{x} sinx \\ \frac{ {d}^{2}y }{d {x}^{2} } = {e}^{x} cosx - {e}^{x} sinx + {e}^{x} sinx + {e}^{x} cosx \\ \frac{ {d}^{2}y }{d {x}^{2} } = 2 {e}^{x} cosx \: \: \: ans.$