$\frac{d}{d x}\left\{\cot ^{-1} \frac{1-x}{1+x}\right\}$

If $u=f(x^{2}), v=g(x^{3}),f(x)=\sin x, g^{1}(x)=\cos x$ then find $\frac{du}{dv}$

Let the function $y=f(x)$ be given by $x=t^{5}-5t^{3}-20t+7$ and $y=4t^{3}-3t^{2}-18t+3$, where $t\epsilon \left ( -2, 2 \right )$. Then $f^{'}(x)$ at $t=1$ is ?

$x$ এর সাপেক্ষে অন্তরক সহগ নিচের কোনটি? $\sqrt{\sin ^{-1} x^{5}}$

$\displaystyle\frac{d}{dx}\tan^{-1}\left(\displaystyle\frac{1-x}{1+x}\right)=$ ____________.