If : f(x)=(sin^(2)x)/(1+cotx)+(cos^(2)x)...

If : `f(x)=(sin^(2)x)/(1+cotx)+(cos^(2)x)/(1+tanx)," then: "f'((pi)/(4))=`

A

`sqrt3`

B

`1/sqrt3`

C

0

D

`-sqrt3`

Verified by Experts

The correct Answer is:

C

Similar Questions

Explore conceptually related problems

If f(x)=cot^(-1)sqrt(cos2x)," then: "f'((pi)/(6))=

If f(x) is continuous at x=pi/2 , where f(x)=(sqrt(2)-sqrt(1+sin x))/(cos^(2)x) , for x!= pi/2 , then f(pi/2)=

If f(x) is continuous at x = (pi)/2 , where f(x) = (sinx)^(1/(pi-2x)), "for" x != (pi)/2 , then f((pi)/(2)) =

If int(sin2x)/(sin^(4)x+cos^(4)x)dx=tan^(-1)[f(x)]+c , then f(pi/3)=

If f(x) = cos x cos 2x cos 4x cos (8x). cos 16x then find f' (pi/4)

If f(x) is continuous at x=pi/4 , where f(x)=(1-tanx)/(1-sqrt(2)sin x) , for x!= pi/4 , then f(pi/4)=

If intf(x)cosxdx=1/2[f(x)]^(2)+c," then " f(pi/2) is

If f(x)=sin^2x+sin^2(x+pi/3)+cosxcos(x+pi/3)a n d g(5/4)=1, then (gof)(x) is ____________

If f(x)=(1-x)/(1+x) , then f[ f(cos2 theta)]=