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 :

SA

If $y=\log(\sqrt{x}+\frac{1}{\sqrt{x}})^{2}$, then show that $x(x+1)^{2}y_{2}+(x+1)^{2}y_{1}=2$.

SA

If $x=a~sin^{3}\theta$, $y=b~cos^{3}\theta$ then find $\frac{d^{2}y}{dx^{2}}$ at $\theta=\frac{\pi}{4}$

SA

If $x\sqrt{1+y}+y\sqrt{1+x}=0$, $-1

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