[5] Using the limit definition of a derivative, find the derivative of f(x) = x² – x. Show that this derivative can also be obtained by evaluating f(x + Aa) – f(x – Ax) lim Ar→0 2Ax Explain why you were able to get the same derivative of f(x) by describing the geometric interpretation of this formulation of the derivative. You can draw graphs to help you discuss this.

[5] Using the limit definition of a derivative, find the derivative of f(x) = x² – x. Show that this derivative can also be obtained by evaluating f(x + Aa) – f(x – Ax) lim Ar→0 2Ax Explain why you were able to get the same derivative of f(x) by describing the geometric interpretation of this formulation of the derivative. You can draw graphs to help you discuss this.

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

Section4.2: Derivatives Of Products And Quotients

Problem 35E

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