Explanation Formula used: f ′ ( x ) = lim x → c f ( x ) − f ( c ) x − c Calculation: Consider a function: f ( x ) = | x − 5 | = { 5 − x ; x < 5 x − 5 ; x ≥ 5 } Now, L f ′ ( x ) = lim x → 5 − f ( x ) − f ( 5 ) x − 5 = lim h → 0 f ( 5 − h ) − 0 5 − h − 5 = lim h → 0 5 − ( 5 − h ) − h = lim h → 0 h − h = lim h →

Calculus: Special Edition: Chapters 1-5 (w/ WebAssign)

6th Edition

ISBN: 9781524908102

Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE

Publisher: Kendall Hunt Publishing

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Chapter 3, Problem 53SP

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Find function which continuous at whole real line but not differentiable at x=5.

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Chapter 3, Problem 52SP

Chapter 3, Problem 54SP

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Chapter 3 Solutions

Calculus: Special Edition: Chapters 1-5 (w/ WebAssign)

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Find function which continuous at whole real line but not differentiable at x=5.

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Chapter 3 Solutions