16. If f is differentiable at xo, prove that lim h→0 f(xo + αh) - f(xo - ßh) h = (x + ß)ƒ'(xo).

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 37E: Use graphical differentiation to verify that ddxex=ex.
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16. If f is differentiable at xo, prove that
lim
h→0
f(xo + ah) - f(xo - Ph)
h
= (a + ß)f'(xo).
Transcribed Image Text:16. If f is differentiable at xo, prove that lim h→0 f(xo + ah) - f(xo - Ph) h = (a + ß)f'(xo).
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