Find all functions f(x) defined on `(-pi/2,pi/2)` with real values and has a primitive `F(x)` such that `f(x)+cosx*F(x)=(sin2x)/((1+sinx)^2)`

Find all functions f(x) defined on (-(pi)/(2),(pi)/(2)) with real values and has a primitive F(x) such that f(x)+cos x*F(x)=(sin2x)/((1+sin x)^(2))

If f(x) is defined by f(x)=sin2x, if x =(pi)/(6) Find the values of a and b, if f(x) and f'(x) are continuous at x=(pi)/(6)

The function f(x)=(sinx)^(tan^(2)x) is not defined at x=(pi)/(2) . The value of f((pi)/(2)) such that f is continuous at x=(pi)/(2) is

The function f(x)=(1-sinx+cosx)/(1+sinx+cosx) is not defined at x=pi . The value of f(pi) so that f(x) is continuous at x=pi is

The function f(x)=(1-sinx+cosx)/(1+sinx+cosx) is nto defined at x=pi . The value of f(pi) so that f(x) is continuous at x=pi is:

The function f(x)=(sin2x)^(tan^2 2x) is not defined at x=pi/4 . The value of f(pi/4) so that f is continuous at x=pi/4

If is a real valued function defined by f(x)=x^(2)+4x+3, then find f'(1) and f'(3)

The function f(x)=(1-sinx+cosx)/(1+sinx+cosx) is not defined at x=pi . The value of f(pi) , so that f(x) is continuous at x=pi , is

Consider a function, f(x)=2/3ln^(3/2) (sinx+cosx) for x in (0,pi/2) The value of Lim_(x->pi/2) f(x)/(pi/2-x)^(3/2)

A function f(x) is such that f(x+pi/2)=pi/2-|x|AAx . Find f(pi/2) , if it exists.