Homework Help is Here – Start Your Trial Now!
Math
Calculus
Horizontal Tangent line. Determine the points (if any) at which the function has a horizontal tangent line.

Horizontal Tangent line. Determine the points (if any) at which the function has a 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...
See similar textbooks
Topic Video
Question
100%

Horizontal Tangent line. Determine the points (if any) at which the function has a horizontal tangent line.

The image shows a mathematical equation labeled with the number 60. The equation is a quadratic function expressed as: \( y = x^2 + 9 \) In this equation, \( y \) represents the dependent variable, and \( x \) represents the independent variable. The graph of this equation is a parabola that opens upwards with the vertex at the point (0, 9). This is because the equation is in the form \( y = x^2 + c \), where the coefficient of \( x^2 \) is positive. The term \( +9 \) indicates that the entire parabola is shifted 9 units upward on the Cartesian plane. The axis of symmetry for this parabola is the vertical line \( x = 0 \).
Transcribed Image Text:The image shows a mathematical equation labeled with the number 60. The equation is a quadratic function expressed as: \( y = x^2 + 9 \) In this equation, \( y \) represents the dependent variable, and \( x \) represents the independent variable. The graph of this equation is a parabola that opens upwards with the vertex at the point (0, 9). This is because the equation is in the form \( y = x^2 + c \), where the coefficient of \( x^2 \) is positive. The term \( +9 \) indicates that the entire parabola is shifted 9 units upward on the Cartesian plane. The axis of symmetry for this parabola is the vertical line \( x = 0 \).
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Rules of Differentiation
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS