9 Prove that if m(x) is differentiable on (-0, 00) and its derivative m' (x) is bounded thenm is Lipschitz continuous on (-∞0, 00).

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9 Prove that if m(x) is differentiable on (-∞, 0) and its derivative m'(x) is bounded then m is Lipschitz continuous on (-0, 0).

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter4: Calculating The Derivative

Section4.4: Derivatives Of Exponential Functions

Problem 23E: Find derivatives of the functions defined as follows. fz=2z+e-z22

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9 Prove that if m(x) is differentiable on (-0, 00) and its derivative m' (x) is bounded then
m is Lipschitz continuous on (-∞0, 00).

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