Question

$y=e^{x^2}$ the value of $\frac{dy}{dx}$ is $mx{e}^{x^2}$. Find m

Answer 1

Given that,

$y=e^{x^2}$

$\frac{dy}{dx}=e^{x^2}\frac{d\left(x^2\right)}{dx}$

$\frac{dy}{dx}=2x{e}^{x^2}$

comparing it with $mx{e}^{x^2}$

we get $m=2$