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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?

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?

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

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?

Expert Solution
Step 1

Given: The given function fx=x2-3x

To find: we have to find the derivative of the function and tangent line at x=3

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