Let f(x)=πcosx+x2.The value of c∈(0,π) where f attains its l... | Mathematics | SolveeIt | Solveeit

Today, August 18

Question

Let f(x)=πcosx+x2.The value of c∈(0,π) where f attains its local maximum/minumum is

A

$\frac{\pi}{4}$

B

$\frac{\pi}{2}$

C

$\frac{3\pi}{4}$

D

$\frac{\pi}{3}$

E

$\frac{\pi}{6}$

Answer

$\frac{\pi}{2}$

Explanation

Solution

The correct option is (B): $\frac{\pi}{2}$