List of top Mathematics Questions on Calculus asked in AP ECET EIE

If $S = 12t - 3t^2$ then $\frac{dS}{dt} =$

If $u = e^x \sin y$ then first partial derivative of $u$ with respect to $y$ is

$\frac{d}{dx} \left( e^{3 \log x} \right) =$

If $u(x, y) = \sin^{-1} \frac{x}{y} + \tan^{-1} \frac{y}{x}$ then $xu_x + yu_y =$

$\frac{d}{dx} [e^x(x^2 + 1)] =$

When $a \gt 0$, $\lim_{x \to 0} \frac{a^x - 1}{x} =$

If $4x - 7y + 15 = 0$ then derivative of $y$ with respect to $x$ is

If $y = \cos x$ then $\frac{d^2y}{dx^2} =$