f(x) – f(7) g lim x-7 x - 7 se symbolic notation and fractions where neede

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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Calculate the difference quotient for f(x) = 5 – x² at a = 7.
(Express numbers in exact form. Use symbolic notation and fractions where needed.)
f(x) – f(7)
х — 7
f(x) – f(7)
Calculate f'(7) by finding lim
x→7
х — 7
(Give an exact answer. Use symbolic notation and fractions where needed.)
f'(7) =
Find an equation of the tangent line to f(x) at a = 7.
press numbers in exact form. Use symbolic notation and fractions where needed. Let f(x)
= y and express equation in terms
of x and y.)
equation:
Transcribed Image Text:Calculate the difference quotient for f(x) = 5 – x² at a = 7. (Express numbers in exact form. Use symbolic notation and fractions where needed.) f(x) – f(7) х — 7 f(x) – f(7) Calculate f'(7) by finding lim x→7 х — 7 (Give an exact answer. Use symbolic notation and fractions where needed.) f'(7) = Find an equation of the tangent line to f(x) at a = 7. press numbers in exact form. Use symbolic notation and fractions where needed. Let f(x) = y and express equation in terms of x and y.) equation:
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