Home
Class 12
MATHS
The function f(x)=sin^4x +cos ^4 x in...

The function `f(x)=sin^4x +cos ^4 x `increases` if

A

`0ltxltpi/8`

B

`pi/4ltxlt(3pi)/8`

C

`(3pi)/8ltxlt(5pi)/8`

D

`(5pi)/8ltxlt(3pi)/4`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Similar Questions

Explore conceptually related problems

The function f(x) = sin|x| is

The function f(x)=x+cos x is

If the function f(x)=3 cos |x| -6 ax +b increases for all x in R then the range of value of a given by

Verify Rolle's theorem for the following functions: f(x) = sin x + cos x +5 , x in [0, pi ]

Verify Rolle's theorem for the following functions: f(x)= sin x + cos x + 7, x in (0, 2 pi )

The function f(x)= x +1/x (x != 0) is a non-increasing function in the interval

int (sin2x)/(sin^4x+cos^4x) dx

The function f(x)=x^3-3x^2-24x+5 is an increasing function in the interval a) (-infty,-2) cup (4,infty) b) (-2,infty) c) (-2,4) d) (-infty,4)

The function f(x) = (1-sin x + cos x)/(1+sin x + cosx) is not defined at x = pi . The value of f(pi) , so that f(x) is continuous at x = pi is