If `f(x)=sinx/(1+cosx)` , then find `f'(x)`

if f(X) = sinx + cosx , then (f(x) + f(-x ))/(f(x)-f(-x))= ?

If f(x)=sqrt((x+sinx)/(x-cosx) ,then lim_(xrarroo) f(x) , is

f:Nto[-sqrt2,sqrt2]:f(x)=sinx+cosx , then f(x) is

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

f(x)=sinx+cosx+3 . find the range of f(x).

If f(x)=(1-cosx)/(1-sinx)," then: "f'((pi)/(2)) is

Let f'(sinx)lt0andf''(sinx)gt0,AAx in (0,(pi)/(2)) and g(x)=f(sinx)+f(cosx), then find the interval in which g(x) is increasing and decreasing.

If f(x)=(x+cosx)(x-tanx)," find "f^(')(x) .

Sometimes functions are defined like f(x)=max{sinx,cosx} , then f(x) is splitted like f(x)={{:(cosx, x in (0,(pi)/(4)]),(sinx, x in ((pi)/(4),(pi)/(2)]):} etc. If f(x)=max{(1)/(2),sinx} , then f(x)=(1)/(2) is defined when x in

If f(x)=sinx+cosx, g(x)= x^(2)-1 , then g{f(x)} is invertible in the domain