Question

Solve-
$\cos x^3.{\sin }^2\left(x^5\right)$

Answer 1

$y=\cos x^3.{\sin }^2\left(x^5\right)$
Diff 'y' cost x,
$\frac{dy}{dx}=\cos x^3\left[2\sin \right(x^5\left)cos\right(x^5\left)\right(5x^4\left)\right]$
$+si{n}^2\left(x^5\right)[-\sin x^3(3x^2\left)\right]$
$\frac{dy}{dx}=10x^4\sin \left(x^5\right)\cos \left(x^5\right)\cos \left(x^3\right)$
$-3x^2\sin \left(x^3\right)si{n}^2\left(x^5\right)$