The function `sin^(4)x+cos^(4)x` is increasing in the interval

The number of solutions of the equation 16(sin^(5)x +cos^(5)x)=11(sin x + cos x) in the interval [0,2pi] is

Find the number of solution of sin^2xcos^2x=1+cos^2xsin^4x in the interval [0,2pi]dot

The length of the longest interval in which the function 3sinx-4sin^3x is increasing is pi/3 (b) pi/2 (c) (3pi)/2 (d) pi

The function f(x)=sqrt(3)sin x-cos x will increase monotically in the interval(s)

The number of distinct solutions of the equation 5/4cos^(2)2x + cos^4 x + sin^4 x+cos^6x+sin^6 x =2 in the interval [0,2pi] is

Prove that the function are increasing for the given intervals: f(x)=secx-cos e cx ,x in (0,pi/2)

Prove that the function are increasing for the given intervals: f(x)=e^x+sinx ,x in R^+

Prove that the function are increasing for the given intervals: f(x)=sinx+tanx-2x ,x in (0,pi/2)

cos^(4)x-sin^(4)x= ……….. .

Find the intervals in which the function f given by f(x) = x^(2) – 4x + 6 is (a) increasing (b) decreasing