List of top Mathematics Questions on Differentiation asked in IPU CET

The derivative of $e^{2x}\sin x$ with respect to $x$ is
The slope of the tangent to the curve $y = 3x^4 - 4x$ at $x = 4$ is
Find \( \frac{dy}{dx} \) where \( a^y = \left( \frac{x}{y} \right)^a \)
Gas is being pumped into a spherical balloon. Then, the rate at of $30 \, \text{ft}^3/\text{min}$ which the radius increases when it reaches the value 15 ft, is
Find the derivative of \[ y = (1 - x)^m (1 + x)^n \text{ at } x = 0, \text{ where } m, n>0 \]
If \(x = e^y + e^{-y} - x,\, x>0\) then \(\frac{dy}{dx}\) is