(a) Find the slope m of the tangent to the curve y = 8 + 5x² - 2x³ at the point where x = a. m= (b) Find equations of the tangent lines at the points (1, 11) and (2, 12). y(x)= (at the point (1, 11)) y(x) = (c) Graph the curve and both tangents on a common screen. y -10 -10 (at the point (2, 12)) -5 -5 15- 10 10 20 15 10 10F 10 5 15 10 X X -10. -10 45 y -5 15 10 5 -10F 20 15 10 -5 -10 5 10 5 15 10 X X
(a) Find the slope m of the tangent to the curve y = 8 + 5x² - 2x³ at the point where x = a. m= (b) Find equations of the tangent lines at the points (1, 11) and (2, 12). y(x)= (at the point (1, 11)) y(x) = (c) Graph the curve and both tangents on a common screen. y -10 -10 (at the point (2, 12)) -5 -5 15- 10 10 20 15 10 10F 10 5 15 10 X X -10. -10 45 y -5 15 10 5 -10F 20 15 10 -5 -10 5 10 5 15 10 X X
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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Use limit definition to of derivative to find f'.
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