Find periods for
`{:((i) cos^(4)x., (ii) sin^(3)x., (iii)cos sqrt(x).,(iv) cos x.):}`

Find the period of f(x)=cos^(-1)(cos x)

Differentiate the following w.r.t x: (i) e^(-x) (ii) sin (log x), x gt 0 (iii) cos^(-1) (e^(x)) (iv) e^(cos x)

Find (i) int cos^(2)x,dx (ii) int sin (2x)cos (3x)dx , (iii) int sin^(3)x dx.

Integrate the following w.r.t. x. (i) 4x^(3) , (ii) x-1/x , (iii) 1/(2x+3) , (iv) cos (4x+3) (v) cos^(2) x

Differentiate the following w.r.t x. (i) cos^(-1) (sin x) (ii) tan^(-1) ((sin x)/(1 + cos x)) (iii) sin^(-1) ((2^(x+1))/(1+4^(x)))

Period of f(x) = sin^4 x + cos^4 x

Find the value of (i) cos(-60^(@)) " " (ii) tan(210^(@))" " (iii) sin (300^(@))" " (iv) cos(120^(@))

Find differentiation of y w.r.t x. (i) y=x^(2)-6x (ii) y=x^(5)+2e^(x) (iii) y=4 ln x +cos x