Determine the point(s) (if any) at which the graph of the function has a horizontal tangent line. Step 1 We are asked to find any points on the function that have a horizontal tangent line. In other words, the slope of the tangent line is zero zero

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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Determine the point(s) (if any) at which the graph of the function has a horizontal tangent line.
y=x + 6
Step 1
We are asked to find any points on the function that have a horizontal tangent line. In other words, the slope of the tangent line is zero
zero
Step 2
Since we want
know where the tangent line is zero, we need to find all points where the derivative is zero. Start by finding the derivative of the equation. To do this, we use a combination of the basic differentiation rules. First take the denivative
of both sides of the equation.
y = x + 6
Transcribed Image Text:Determine the point(s) (if any) at which the graph of the function has a horizontal tangent line. y=x + 6 Step 1 We are asked to find any points on the function that have a horizontal tangent line. In other words, the slope of the tangent line is zero zero Step 2 Since we want know where the tangent line is zero, we need to find all points where the derivative is zero. Start by finding the derivative of the equation. To do this, we use a combination of the basic differentiation rules. First take the denivative of both sides of the equation. y = x + 6
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