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Find a formula for the derivative of the function g(x) = 8x² 16 using difference quotie g(x)=lim [( )/h] h→0 = Preview Preview

Find a formula for the derivative of the function g(x) = 8x² 16 using difference quotie g(x)=lim [( )/h] h→0 = Preview Preview

Calculus: Early Transcendentals
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 3 Find a formula for the derivative of the function g(x) = 8x² - 16 using difference quotients: g(x)=lim [( Preview )/h] h→0 Submit Question Preview Jump to Answer
Transcribed Image Text:Question 3 Find a formula for the derivative of the function g(x) = 8x² - 16 using difference quotients: g(x)=lim [( Preview )/h] h→0 Submit Question Preview Jump to Answer
Expert Solution
Step 1: Define the problem

The given function is g open parentheses x close parentheses equals 8 x squared minus 16 

The formula of derivative g apostrophe open parentheses x close parentheses equals limit as h rightwards arrow 0 of open square brackets fraction numerator f open parentheses x plus h close parentheses minus f open parentheses x close parentheses over denominator h end fraction close square brackets

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