# 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 1.75.

Let $f\left(x\right)=x{e}^{-x}$. The maximum value of the function in the interval $\left(0,\infty \right)$ is

Minimum of the real valued function $f\left(x\right)={\left(x-1\right)}^{2}{3}}$ occurs at x equal to

The minimum value of the function  $f\left(x\right)={x}^{3}-3{x}^{2}-24x+100$ in the interval [-3, 3] is

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

The function $f\left(x\right)=2x-{x}^{2}+3$ has

At t = 0, the function $f\left(t\right)=\frac{\mathrm{sin}t}{t}$ has

A cubic polynomial with real coefficients

Consider function f(x)=(x2-4)2 where x is a real number. Then the function has