The definition of the derivative of a function f(x) isOΟ κOOf' (x) ==f(x+ Δ x) + f(x)ΔΕf'(x) =limΔε-0f'(x) = lim=Δε-0f(x+ Δ x) + f(x)Δεf(x+ Δ x) - f(x)Δεf(x+ Δ x) - f(x)Δε

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Answered: The definition of the derivative of a…

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.

Chapter3: The Derivative

Section3.5: Graphical Differentiation

Problem 2E

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The definition of the derivative of a function f(x) is O Ο κ O O f' (x) = = f(x+ Δ x) + f(x) ΔΕ f'(x) = lim Δε-0 f'(x) = lim = Δε-0 f(x+ Δ x) + f(x) Δε f(x+ Δ x) - f(x) Δε f(x+ Δ x) - f(x) Δε