Concept explainers
To Sketch: The given function with local and minimum extrema and
Given:
Graph:
Sketch the graph of
Find the extrema:
Find the first derivative of the function:
Find the second derivative of the function:
To find the
Graph each side of the equation. The solution is the
Evaluate the second derivative at
Evaluate the second derivative at
Evaluate the second derivative at
Find the values of
Substitute
Substitute
Substitute
The function
Find the zeroes of the function
Graph each side of the equation. The solution is the x-value of the point of intersection. The function has zeros at
Thus, the function
End behaviour:
Use the limits to describe its end behaviour.
The graph falls to the left and falls to the right.
Chapter 2 Solutions
PRECALCULUS:GRAPHICAL,...-NASTA ED.
- Find all values of x for the given function where the tangent line is horizontal. 3 =√x³-12x² + 45x+5arrow_forwardFind the equation of the tangent line to the graph of the given function at the given value of x. 6 f(x) = x(x² - 4x+5)*; x=2arrow_forwardFind the equation of the tangent line to the graph of the given function at the given value of x. f(x)=√√x+33; x=4arrow_forward
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning





