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Let f(x) (x², if x is rational, = 0, if x is irrational Show that is differentiable at x = 0, and find f'(0).

Let f(x) (x², if x is rational, = 0, if x is irrational Show that is differentiable at x = 0, and find f'(0).

Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter11: Rational And Irrational Numbers
Section: Chapter Questions
Problem 23CLR
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Let f(x) (x², if x is rational, = 0, if x is irrational Show that is differentiable at x = 0, and find f'(0).
Transcribed Image Text:Let f(x) (x², if x is rational, = 0, if x is irrational Show that is differentiable at x = 0, and find f'(0).
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