1. ## Calculus Diferentiation

Define h: R-> R by

h(x) = { x^2, x is rational
{ 0, x is irrational

Prove that H is differentiable at 0.

How would you do this?

Thanks!

2. Originally Posted by Sterwine
Define h: R-> R by

h(x) = { x^2, x is rational
{ 0, x is irrational

Prove that H is differentiable at 0.

How would you do this?

Thanks!
Show that the function is continuous and smooth at $x = 0$.