Recent questions tagged maxima-minima

The value of the real variable $x \geq 0$, which maximizes the function $f\left ( x \right ) = x^{e} e ^{-x}$ is$e$$0$$\frac{1}{e}$$1$

The maximum value of the function $f(x)=-\dfrac{5}{3} x^3 +10x^2-15x+16$ in the interval $(0.5,3.5)$ is$0$$8$$16$$48$

The number of positive roots of the function $f(x)$ shown below in the range $0<x<6$ is ___________________.

The cost of two independent process variables $f_{1}$ and $f_{2}$ affects the total cost $C_{T}$ (in lakhs of rupees) of the process as per the following function :$$C_{T...

A political party orders an arch for the entrance to the ground in which the annual convention is being held. The profile of the arch follows the equation $y = 2x – 0.1x^...