# GATE Questions & Answers of Maxima and minima

## What is the Weightage of Maxima and minima in GATE Exam?

Total 8 Questions have been asked from Maxima and minima topic of Calculus subject in previous GATE papers. Average marks 1.50.

For, the maximum value of the function $f\left(t\right)={e}^{-t}-2{e}^{-2t}$ occurs at

The maximum value of the function occurs at x =______.

The maximum value of $f\left(x\right)=2{x}^{3}-9{x}^{2}+12x-3$ in the interval $0\le x\le 3$ is _______.

The maximum value of $\theta$ until which the approximation $\mathrm{sin}\theta \approx \theta$ holds to within 10% error is

The maximum value of f(x) = x3 - 9x2 + 24x + 5 in the interval [1, 6] is

If ey=${x}^{\frac{1}{x}}$ then y has a