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The limit given below represents the derivative of some function f at some number a. What is the function f(x) and the number a? lim h→0 [−8(1 + h)6 +3(1 + h)³ + 1] +4 h

The limit given below represents the derivative of some function f at some number a. What is the function f(x) and the number a? lim h→0 [−8(1 + h)6 +3(1 + h)³ + 1] +4 h

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
5:22 ◄ Search Done lim h→0 CURRENT OBJECTIVE Identify the derivative as the limit of a difference quotient f(x) = knewton.com Question The limit given below represents the derivative of some function f at some number a. What is the function f(x) and the number a? Provide your answer below: [−8(1 + h)6 +3(1 + h)5 + 1] + 4 h a = AA Content attribution : 13 SUBMIT
Transcribed Image Text:5:22 ◄ Search Done lim h→0 CURRENT OBJECTIVE Identify the derivative as the limit of a difference quotient f(x) = knewton.com Question The limit given below represents the derivative of some function f at some number a. What is the function f(x) and the number a? Provide your answer below: [−8(1 + h)6 +3(1 + h)5 + 1] + 4 h a = AA Content attribution : 13 SUBMIT
Expert Solution
Step 1: Given the information

The given limit,

limit as h rightwards arrow 0 of fraction numerator open square brackets negative 8 open parentheses 1 plus h close parentheses to the power of 6 plus 3 open parentheses 1 plus h close parentheses to the power of 5 plus 1 close square brackets plus 4 over denominator h end fraction.

The limit represents the derivative of a function f open parentheses x close parentheses at a point x equals a.

The aim is to find the derivative function and the point.

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