The value of C which satisfies Rolle's Theorem for f(x) = si... | Mathematics | SolveeIt | Solveeit

Today, October 3

Question

The value of C which satisfies Rolle's Theorem for f(x) = sin4x + cos4x in $[0, \frac{π}{2}]$ . Then C is:

A

$\frac{π}{5}$

B

$\frac{π}{3}$

C

$\frac{π}{4}$

D

$\frac{π}{6}$

Answer

$\frac{π}{4}$

Explanation

Solution

The correct option is (C): $\frac{π}{4}$