List of top Mathematics Questions on Differentiability asked in MHT CET

If the derivative of the function \(f(x) = \{\begin{array}{cc}ax^2+b & \text{if }x < -1 \\ bx^2+ax+4 & \text{if }x\geq -1\end{array}\) is continuous everywhere then
Find the derivative of the function \( f(x) = 3x^2 - 5x + 7 \).
The Boolean expression \( (\sim(p \land q)) \lor q \) is equivalent to:
\( \int_{\pi/11}^{9\pi/22} \frac{dx}{1 + \sqrt{\tan x}} \) is equal to: