Answered: Tutorial Exercise Find the derivative…

Tutorial Exercise Find the derivative by the limit process. f(x) = 14 - x² Step 1 Complete the definition of a derivative. f '(x) = Ilm f(x + Ax)-f(x) Ax

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 37E

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Question

Please tell me what I'd specifically put in each box for step 2. Please circle the answers.

Tutorial Exercise
Find the derivative by the limit process.
f(x) = 14 - x²
Step 1
Complete the definition of a derivative. f '(x) =
f'(x) = lim_
Ax-o
= Ilm
Step 2
Use the definition for the function above to find the derivative.
- (x + Ax)² - (1
Ax
xAx- (Ax)² -
Ax
Ax-0
= Ilm
14 - x²
lim (1
Ax-o
Ax-a
xAx- (Ax)²
Ax
x-Ax)
0
f(x + Ax)-f(x)
- x²)
F"(x) =
-2x

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