If `f(x) = sgn(cos x)` then `f'(pi/2)` is

If f(x) = sgn (cos x) , then f^(1)(pi/2) is

If f(x) = x^(3) sgn (x), then

If f(x) = x^(3) sgn (x), then

If f(x)=x^3sgn(x), then

If f(x)=|cos x-sin x|, then f'((pi)/(2)) is equal to

If f(x)=x^(3)sgn(x), then

Let sgn (x) denote the signum function of x. Let A = {x|x ne 1/2npi, n in Z} Define f : A to R by f(x) = sgn(cos x) + sgn (sinx) + sgn (tan x) + sgn (cot x) Then range of f is

If f(x)=cos x+sin x, find f((pi)/(2))

Discuss continuity of (i) f(x) = sgn(x^(3)-x) (ii) f(x) = sgn(2 cos x-1) (iii) f(x) = sgn(x^(2)-2x+3)

Given f'(x) = (cos x )/( x ), ,f ((pi)/(2)) =a, f ((3pi)/(2))=b. Find the vlaue of the definite integral int _( pi//2) ^(3pi//2) f (x) dx.