SA

Differentiate $y=\sin^{-1}(3x-4x^{3})$ w.r.t. x, if $x\in[-\frac{1}{2},\frac{1}{2}]$.

VSA

If $f(x)=|tan~2x|$, then find the value of $f^{\prime}(x)$ at $x=\frac{\pi}{3}$

LA

If $x=a\left(\cos\theta+\log\tan\frac{\theta}{2}\right)$ and $y=\sin\theta$, then find $\frac{d^{2}y}{dx^{2}}$ at $\theta=\frac{\pi}{4}$.

SA

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

SA

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

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