use the definition of derivative to show that f(x) is not differentiable at x=0

Question

f(x)={ x, x less than or equal 0

          x^3, x greater than 0

away from the join point x=0, it is clear that fx is differentiable because x and x3 are polynomials and polynomials are differentiable. is this function differentiable at x=0. use the definition of derivative to show that f(x) is not differentiable at x=0. To do this, you must show the limit as delta(x) approaching 0 from the left side is different from the limit as deltax approaching 0 from the right in the definition of derivative.

Answer 1

So, the function f(x) is not differentiable at x = 0.