Show the function, `f(x)=(2x(sinx+tanx))/(2[(x+21pi)/pi]-41)` is symmetric about origin.

Show that the function f(x)= |sinx + cos x| is continuous at x= pi

If f(x)=|x|^(|sinx|) , then f'((pi)/(4)) equals

If f(x)=x sin x then f'(pi/2) = ……

Function f(x) = |sinx|, x in (- (pi)/(2) , 0) is :

If f'(x)=sinx+sin4x.cosx, then f'(2x^(2)+pi/2) is

If f(x)=|cosx-sinx| , then f'(pi/4) is equal to

Show that the function f given by f(x)=tan^(-1)(sin x + cos x), x gt 0 is always an increasing function in (0, (pi)/(4)) .

In the function f(x) satisfies lim_(xto1)(f(x)-2)/(x^(2)-1)=pi evaluate lim_(xto1)f(x) .

Find the range of the function " " f(x)=(sin^(2)x+sinx-1)/(sin^(2)x-sinx+2) .

Find the intervals in which the function f given by f(x)=sin x + cos x, 0 le x le 2 pi is Increasing or Decreasing.