![Bundle: Calculus: Early Transcendental Functions, 6th + WebAssign Printed Access Card for Larson/Edwards' Calculus, Multi-Term](https://www.bartleby.com/isbn_cover_images/9781305247024/9781305247024_largeCoverImage.gif)
Finding an Equation of a Tangent Line In Exercises 67-74, (a) find in equation of the tangent line to the graph of the function at the given point, (b) use a graphing utility to graph the function and its tangent line at the point, and (c) use the tangent feature of a graphing utility to confirm your results.
![Check Mark](/static/check-mark.png)
Want to see the full answer?
Check out a sample textbook solution![Blurred answer](/static/blurred-answer.jpg)
Chapter 5 Solutions
Bundle: Calculus: Early Transcendental Functions, 6th + WebAssign Printed Access Card for Larson/Edwards' Calculus, Multi-Term
- Equation of a tangent line Let f(x) = -16x 2 + 96x (the position function examined in Section 2.1) and consider the point P(1, 80) on the curve. a. Find the slope of the line tangent to the graph of f at P. b. Find an equation of the tangent line in part (a).arrow_forwardFind an equation of the tangent line to the graph of the function at the given point, (a) use a graphing utility to graph the function and its tangent line at the point, and (b) use the tangent feature of a graphing utility to confirm your results. Function y = (x − 2)(x2 + 3x) Point (1, −4)arrow_forwardChapter 3, Differentiation In Exercises 51- 54, find the slope of the tangent line to the graph of the logarithmic function at the point (1, 0).arrow_forward
- [Numerical Analysis] Briefly discuss two ways of deriving numerical differentiation formulas.arrow_forwardFinding an Equation of a Tangent Line In Exercises43–46, find an equation of the tangent line to the graph of f atthe given point.43. f (x) = (x + 2)(x2 + 5), (−1, 6)arrow_forwardConsider the function y = (a) Find a formula for the slope of the tangent line to the graph of f at a general point x = xo. Mtan = Use the formula obtained in part (a) to find the slope of the tangent line for the given value of xo. (b) mtan 756 f(x) = x² + 15x + 56 and the x-value xo 5. = =arrow_forward
- (Differentiable Functions: Standard Analysis & Graph Sketching). Consider the function f(x) = −(2x+11x+16)/e^x(i) Make the standard analysis of the function f(x), that is: (1) make the combined sign chart of f' and f''; (ii) Use (i) to sketch the graph of f ;arrow_forward10 Find an equation for the tangent line to the graph of y = (x³ - 25x) ¹0 at the point (-5,0). The equation of the tangent line is y= (Simplify your answer.)arrow_forwardDifferentiation 5.1) Find Slope when x = 0arrow_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
![Text book image](https://www.bartleby.com/isbn_cover_images/9781285741550/9781285741550_smallCoverImage.gif)
![Text book image](https://www.bartleby.com/isbn_cover_images/9780134438986/9780134438986_smallCoverImage.gif)
![Text book image](https://www.bartleby.com/isbn_cover_images/9780134763644/9780134763644_smallCoverImage.gif)
![Text book image](https://www.bartleby.com/isbn_cover_images/9781319050740/9781319050740_smallCoverImage.gif)
![Text book image](https://www.bartleby.com/isbn_cover_images/9780135189405/9780135189405_smallCoverImage.gif)
![Text book image](https://www.bartleby.com/isbn_cover_images/9781337552516/9781337552516_smallCoverImage.gif)