VSA

If $(x)^{y}=(y)^{x}$, then find $\frac{dy}{dx}$.

SA

Differentiate $y=\cos^{-1}\left(\frac{1-x^{2}}{1+x^{2}}\right)$ with respect to x, when $x\in(0,1)$.

SA

If $x~cos(p+y)+cos~p~sin(p+y)=0$ prove that $cos~p\frac{dy}{dx}=-cos^{2}(p+y),$ where p is a constant.

SA

Show that: $\frac{d}{dx}(|x|)=\frac{x}{|x|},x\ne0$

MCQ_SINGLE

The derivative of \(\sin(x^{2})\) w.r.t. x, at \(x=\sqrt{\pi}\) is :

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