If `f(x)=(cos x-sin x)/(cos x+sin x)` then `f^(-1)(x)=`

If f (x) = tan ^(-1) ((cos x- sinx)/(cos x+ sin x)) then the value of (d)/(dx) f(x) is-

If f(x) = (cos x + i sin x)(cos 3x + i sin 3x) ….(cos (2n - 1)x + i(sin(2n - 1)x) , then f^(11)(x) is

If f(x) = |cos x - sin x| , then f^(1)(pi/4) =

A: (d)/(dx ) {Tan ^(-1) ((a cos x + b sin x)/(b cos x - a sin x))=1 R: (d)/(dx) {Tan ^(-1) ((a cos f (x) +b sin f (x))/(b cos f (x) -a sin f (x)))}=f'(x)

The range of f(x)=cos x-sin x is

f(x)=(1)/(sin x cos x) find ,f'(x)=?

If f(x)=2x+[x]+sin x cos x, Then f is:

If f_(n)(x) = (sin x)/(cos3x)+(sin 3x)/(cos 3^(2)x) +(sin 3^(2)x)/(cos 3^(3)x) +....+ (sin 3^(n-1)x)/(cos 3^(n)x)"Then" f_(2) ((pi)/(4)) + f_(3) ((pi)/(4))=

if int e^(sin x)(x cos^(3)x-sin x)/(cos^(2)x)dx and f(0)=1 then f(pi)= is

If f(x)=|(10(sqrt(cos x)-sqrt(sin x))(sqrt(cos x)+ sqrt(sin x)))/(cos x+ sin x)| then number of natural numbers in the range of f(x) is