If `f(x)=|x|^3` , show that `f^(x)` exists for all real x and find it.

If f(x)=|x|^(3) , then show that f''(x) exists for all real x and find it.

If f(x)=|x|^(3) show that show that exists for all real x and find it.

if f (x) = x^3 , show that f''(x) exist for all real values of x and find it.

If f(x) satisfies the relation 2f(x)+(1-x)=x^(2) for all real x, then find f(x) .

The f(x) is such that f(x+y) = f(x) + f(y) , for all reals x and y xx then f(0) =

A function f:R->R satisfies the relation f((x+y)/3)=1/3|f(x)+f(y)+f(0)| for all x,y in R. If f'(0) exists, prove that f'(x) exists for all x, in R.

A function f:R->R satisfies the relation f((x+y)/3)=1/3|f(x)+f(y)+f(0)| for all x,y in R. If f'(0) exists, prove that f'(x) exists for all x, in R.

A function f:R->R satisfies the relation f((x+y)/3)=1/3|f(x)+f(y)+f(0)| for all x,y in R. If f'(0) exists, prove that f'(x) exists for all x, in R.

If f is a real function such that f(x)>0,f'(xx) is continuous for all real x and axf'(x)>=2sqrt(f(x))-2af(x),(ax!=2) show that sqrt(f(x))>=(sqrt(f(1)))/(x),x>=1