If f is a differentiable function and `2f(sinx) + f(cosx)=x AA x in R` then `f'(x)=`

Let f be a differentiable function satisfying f'(x)=f' (-x) AA x in R. Then

If f is a differentiable function satisfying 2f(x)=f(xy)+f((x)/(y)),AA x,y in R^(+), f(1)=0 and f'(1)=(1)/(ln6), then f(7776) =

If f(x) is a differentiable function satisfying |f'(x)| le 2 AA x in [0, 4] and f(0)=0 , then

Let f be a differentiable function satisfying f'(x)=f' (-x) AA x in R. Then which of the following is correct regarding f:

Let f be a differentiable function AA x in R where f(1)=1&f(3)=4&f'(x)>=1 AA x in R then f(2) can be equal to

f(x+y)=f(x).f(y)AA x,y in R and f(x) is a differentiable function and f'(0)=1,f(x)!=0 for any x.Findf(x)

Let f:R rarr R be a differential function satisfy f(x)=f(x-y)f(y)AA x,y in R and f'(0)=a,f'(2)=b then f'(-2)=

If f:R rarr R be a differentiable function such that f(x+2y)=f(x)+f(2y)+4xy, AA x,y in R , f(2)=10 , then f(3)=?