Problem 5 Given the function f(x) = 9 – 2x² a) Calculate the difference quotient at the two points P(1,7) and P(2,1). b) Find the equation of the tangent line to the curve in the point P=(2,1) by using first principles.
Problem 5 Given the function f(x) = 9 – 2x² a) Calculate the difference quotient at the two points P(1,7) and P(2,1). b) Find the equation of the tangent line to the curve in the point P=(2,1) by using first principles.
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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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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
Transcribed Image Text:Problem 5
Given the function
f(x) = 9 – 2x2
a) Calculate the difference quotient at the two points P(1,7) and P(2,1).
b) Find the equation of the tangent line to the curve in the point P=(2,1) by using first
principles.
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