Question

Let $y=e^x.\sin (a{x}^2+bx+c)$ then find $\frac{dy}{dx}$.

Answer 1

Given,

$y=e^x.\sin (a{x}^2+bx+c)$

Now differentiating both sides with respect to $x$ we get,

$\frac{dy}{dx}=e^x.\sin (a{x}^2+bx+c)+e^x.\cos (a{x}^2+bx+c).(2ax+b)$