List of top Quantitative Ability Questions on Calculus asked in XAT

If \(F\) is a differentiable function such that \(F(3) = 6\) and \(F(9) = 2\), then there must exist at least one number 'a' between 3 and 9, such that:

A conical tent of given capacity has to be constructed. The ratio of the height to the radius of the base for the minimum amount of canvas required for the tent is:

If \(f(x) = \cos(x)\) then the 50th derivative of \(f(x)\) is: