Answered: Let f(x) = 9x2, x in QQ = 0, x not in…

Let f(x) = 9x2, x in QQ = 0, x not in QQ (a) Prove that f is continuous at exactly one point nameley at x = 0. (b) Prove that f is differentiable at exactly one point nameley at x = 0.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

Let f(x) = 9x², x in QQ

= 0, x not in QQ

(a) Prove that f is continuous at exactly one point nameley at x = 0.

(b) Prove that f is differentiable at exactly one point nameley at x = 0.

With integration, one of the major concepts of calculus. Differentiation is the derivative or rate of change of a function with respect to the independent variable.

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