List of top Mathematics Questions on Maxima & Minima

Find the maximum value of $f(x) = -x^2 + 4x + 1$

An objective function $Z = ax + by$ is maximum at points $(8, 2)$ and $(4, 6)$. If $a \geq 0$ and $b \geq 0$ and $ab = 25$, then the maximum value of the function is:

\(\text{ If } f(x) = \sin x + \frac{1}{2} \cos 2x \text{ in } \left[ 0, \frac{\pi}{2} \right], \text{ then:}\)
(A) \(f'(x) = \cos x - \sin 2x\)
(B)The critical points of the function are \(x = \frac{\pi}{6}\) and \(x = \frac{\pi}{2}\)
(C) The minimum value of the function is 2
(D) The maximum value of the function is \(\frac{3}{4}\)

The maximum value of the function y = 2 - |x - 3| is :

For the function f(x) = 2e^5x + 10, which of the following is the most appropriate option.

If \(f(x,y)=x^2+y^2+6x+12\), then minimum value of f is: