List of top Mathematics Questions on Continuity and differentiability asked in MET

If \(y=\sqrt{\sin x + \sqrt{\sin x + \cdots}}\), then \(\frac{dy}{dx}\) is

The function whose derivative is equal to itself is

\( y = e^{a \sin^{-1}(x)} \implies (1 - x^{2}) y_{n+2} - (2n+1)x y_{n+1} \) is equal to

If $y = \log(\log x)$, then $dy/dx$ is:

The derivative of \( e^{x^{3}} \) with respect to \( \log x \) is:

If \( y = \sqrt{\sin x + \sqrt{\sin x + \sqrt{\sin x + \cdots}}} \), then \( \frac{dy}{dx} \) is:

The function $f(x) = |x|$ is:

If $y = \log(\log x)$, then $dy/dx$ is: