4.If f(x)=sin x+cos x Then `(f(x)+f(-x))/(f(x)-f(-x))=`

If f(x)= x^2 , then (f(x+h)-f(x))/(h) =

If f(x) = cos(log x) then f(x)f(y)-1/2[f(x/y)+f(xy)] has the value

If f (x) =|sin x-|cos x ||, then f '((7pi)/(6))=

If f(x)=sin(logx) then f(xy)+f(x/y)-2f(x)cos(logy)= (A) cos(logx) (B) sin(logy) (C) cos(log(xy)) (D) 0

If f(x)=sin^6x+cos^6x , then range of f(x) is

If f (x) = cot x, then prove that : f(-x)=-f(x)

If f(-x)=-f(x) , then f(x) is

If f(x)=sin x + cos^(2)x , then prove that: f(x)=f(pi-x)

Discuss the continuity of the following functions: (a) f(x) = sin x + cos x (b) f(x) = sin x - cos x (c) f(x) = sin x . cos x

If f(x)=log_(2)x , then f((2)/(x))+f(x)=