Question

Differentiate $y=\cot x^3$ w.r.t $x$.

Answer 1

Given : $y=\cot x^3$

Put $x^3=t$ and $3x^{2}dx=dt$

$y=\cot t$

differentiation with respect to t

$dy=-cose{c}^{2}tdt$

Put t and at value so

$dy=-3x^{2}cose{c}^2{x}^{3}dx$

$\frac{dy}{dx}=-3x^{2}cose{c}^2{x}^3$