List of top Mathematics Questions on Differentiability asked in AMUEEE

If $ y = sec(tan^{-1}x) $ , then $ \frac{dy}{dx} $ at $ x = 1 $ is
If $ f(x) = \frac{x}{2} -1 $ then on the interval $ [0,\pi] $
Let  \(f(x) = \begin{cases} \frac{x^3+x^2-16x+20}{(x-2)^2} & if x \neq 2 \\ b & \text{if x = 2} \end{cases}\)  If \(f(x)\) is continuous for all \(x\) , then \(b\) is equal to