VSA

If $x=a\sin 2t, y=a(\cos 2t+\log\tan t)$ then find $\frac{dy}{dx}$

SA

Check the differentiability of function $f(x)=x|x|$ at $x=0$.

VSA

Verify whether the function f defined by $f(x)=\begin{cases}x~sin(\frac{1}{x}),x\ne0\\ 0&,x=0\end{cases}$ is continuous at $x=0$ or not.

MCQ_SINGLE

6. The function $f(x)=|x|$ is

VSA

If $y=x^{\frac{1}{x}}$ then find $\frac{dy}{dx}$ at $x=1$.

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