An extremum of the function `f(x)=(2-x)/picospi(x+3)+1/(pi^2)sinpi(x+3)` where x `in (0,4)` occurs at (a) `x=1` (b) `x=2` (c) `x=3` (d) `x=pi`

The period of the function f(x)=c^((sin^2x) +sin^2 (x+pi/3)+cosxcos(x+pi/3)) is (where c is constant)

The domain of the function f(x) = log_(3/2) log_(1/2)log_pi log_(pi/4) x is

If the range of the function F(x)=tan^-1(3x^2+bx+c) is [0,pi/2) ; (domain in R) then :

Discuss the extremum of f(x)=x(x^2-4)^(-1/3)

Function f[(1)/(2)pi, (3)/(2)pi] rarr [-1, 1], f(x) = cos x is

The period of the function f(x)=c^((sin^2x+sin^(2(x+pi/3))+cosxcos(x+pi/3)) is (where c is constant) 1 (b) pi/2 (c) pi (d) cannot be determined

The value of a for which the function f(x)=asinx+(1/3)sin3x has an extremum at x=pi/3 is (a) 1 (b) -1 (c) 0 (d) 2

The value of a for which the function f(x)=f(x)={((4^x-1)hat3)/(sin(x a)log{(1+x^2 3)}),x!=0 12(log4)^3,x=0 may be continuous at x=0 is 1 (b) 2 (c) 3 (d) none of these

Number of points where the function f(x)=(x^2-1)|x^2-x-2| + sin(|x|) is not differentiable, is: (A) 0 (B) 1 (C) 2 (D) 3

Discuss the continuity of the function f(x) ={:{((1+cos x)/(tan^2 x) ", "x ne pi),((1)/(2) ", " x=pi):}, at x=pi .