# Calculus Diferentiation

• November 3rd 2009, 01:55 PM
Sterwine
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!
• November 3rd 2009, 02:55 PM
Prove It
Quote:

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 $x = 0$.