`"I f"pi<2theta<(3pi)/2,"t h e n"sqrt(2+sqrt(2+2cos4theta))`

If f(x) = |cos x| , then f'((pi)/(4)) is equal to …… 0 lt x lt (pi)/(2)

bb"Statement I" The range of f(x)=sin(pi/5+x)-sin(pi/5-x)-sin((2pi)/5+x)+sin((2pi)/5-x) is [-1,1]. bb"Statement II " cos""pi/5-cos""(2pi)/5=1/2

Let f:[-pi//2,pi//2] rarr [-1,1] where f(x)=sinx. Find whether f(x) is one-one or not.

Find the values of k so that the function f is continuous at the indicated point f(x) = {((k cos x)/(pi-2x)",","if" x ne (pi)/(2)),(3,"if" x= (pi)/(2)):} " at " x= (pi)/(2)

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

If f(x)= |cos x- sin x| , then f'((pi)/(3)) is equal to …….

If f(x)=x sin x then f'(pi/2) = ……

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