Answered: f(x+h)-f(x) lim Find the derivative…

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f(x+h)-f(x) lim Find the derivative using the definition of the derivative, use a) f(x) = 3x² – 1 b) g(x) =

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Question

f(x+h)-f(x)
lim
Find the derivative using the definition of the derivative, use
a) f(x) = 3x² - 1
b) g(x) =
hain rulec)

Expert Solution

Part(a) Step 1

NOTE: Refresh your page if you can't see any equations.

$f\left(x\right)=3x^2-1$

substitute x+h for x

$\:f\left(x+h\right)=3\left(x+h\right)^2-1$

$\:f\left(x+h\right)= 3\left(x^2+2xh+h^2\right)-1$

$\:f\left(x+h\right)= 3x^2+6xh+3h^2-1$

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