Prove that the function `f(x)=|x|` is not differentiable there at x=0.

Show that the function f(x)=x^(3/2) is not differentiable at x=0.

Show that the function f(x)=x^3/2 is not differentiable at x=0.

Show that the function f(x)=x|x| is continuous and differentiable at x = 0

Prove that the function f gives by f(x)=|x-1|x in R is not differentiable at x=1 .

The function f(x)=a sin |x| +be^|x| is differentiable at x=0 when

Prove that the function f(x) =2x-|x| is continuous at x=0.

A function f:R rarr R satisfies that equation f(x+y)=f(x)f(y) for all x,y in R ,f(x)!=0. suppose that the function f(x) is differentiable at x=0 and f'(0)=2. Prove that f'(x)=2f(x)

A function f: R->R satisfies that equation f(x+y)=f(x)f(y) for all x ,\ y in R , f(x)!=0 . Suppose that the function f(x) is differentiable at x=0 and f^(prime)(0)=2 . Prove that f^(prime)(x)=2\ f(x) .

A function f: R->R satisfies that equation f(x+y)=f(x)f(y) for all x ,\ y in R , f(x)!=0 . Suppose that the function f(x) is differentiable at x=0 and f^(prime)(0)=2 . Prove that f^(prime)(x)=2\ f(x) .

Prove that the function f given by f(x)=|x-1|,x in R is not differentiable at x=1