a Let (x) be a function satisfying (x) x 2 for 1 x 1 Show that is differentiable at x 0 and find (0) b Show that is differentiable at x 0 and find (0) f(x) x sin 1 0, x 0 x 0...

a To show that is differentiable at x0 we need to sho ...

a. Let (x) be a function satisfying |(x)| x 2 for -1 x 1.

Question:

a. Let ƒ(x) be a function satisfying |ƒ(x)| ≤ x² for -1 ≤ x ≤ 1. Show that ƒ is differentiable at x = 0 and find ƒ′(0).

b. Show that

is differentiable at x = 0 and find ƒ′(0).

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Thomas Calculus Early Transcendentals

ISBN: 9780321884077

13th Edition

Authors: Joel R Hass, Christopher E Heil, Maurice D Weir

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Question Posted: Apr 16, 2023 12:41 AM

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a. Let (x) be a function satisfying |(x)| x 2 for -1 x 1.

Question:

f(x) = [x² sin 1. 0, x = 0 x = 0

Step by Step Answer:

a To show that is differentiable at x0 we need to sho...View the full answer

Thomas Calculus Early Transcendentals

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