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.

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.2: Introduction To Conics: parabolas
Problem 4ECP: Find an equation of the tangent line to the parabola y=3x2 at the point 1,3.
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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.
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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