1. Given f(x)= x2 -3x a) Using the definition of the derivative, show that f´(x)=2x-3   b) Use part (a) to write equation of the line tangent to y= x 2-3x at x=3   c) At which x - values, does (x) have  horizontal tangent line?

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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1. Given f(x)= x2 -3x

a) Using the definition of the derivative, show that f´(x)=2x-3

 

b) Use part (a) to write equation of the line tangent to y= x 2-3x at x=3

 

c) At which x - values, does (x) have  horizontal tangent line?

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