List of top Mathematics Questions on Calculus asked in AP ECET CSE, AP ECET CE

For what value of x, the function \(f(x) = 2x^3 + 3x^2 - 36x + 10\) has minimum

The equation of the tangent to the curve \(y = x^3\) at (1, 1) is

Slope of the normal to the curve \(x^{2/3} + y^{2/3} = 2\) at the point (1, 1) is

If \(y = \sqrt{\sin x + \sqrt{\sin x + \sqrt{\sin x + \dots \infty}}}\) then \( \frac{dy}{dx} = \)

\(\frac{d}{dx} \left( \tan^{-1} \frac{x}{a} \right) =\)

The derivative of \(x^x\) with respective to x is

The value of \( \lim_{x\to 1} \frac{x^3 - 1}{x - 1} \) is

The value of \( \lim_{x\to\infty} \frac{4x^3 - x + 1}{x^2 - 4x(1-x^2)} \) is