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15. Find the equation of the tangent line to f(x) = 4tan(2x) at x = Show all work.

15. Find the equation of the tangent line to f(x) = 4tan(2x) at x = Show all work.

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...
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15. Find the equation of the tangent line to f(x) = 4tan(2x) at x = 16. Use implicit differentiation to find " x² + 4xy² = 17 Show all work. 17. The velocity, in meters per second, of a runner is given by the function v(t)=11e' +5t. A. Find the acceleration of the runner at time t = 3 seconds. Include the proper units. B. Find the position function given that the runner starts at a distance of 6 meters. 18. For f(x) = x¹ - 2x² +3: A. Find any critical numbers of f(x) and find intervals of increase/decrease. B. Give the coordinates of all local maxima and minima. C. Find the intervals of concavity and state the coordinates of any points of inflection. 4
Transcribed Image Text:15. Find the equation of the tangent line to f(x) = 4tan(2x) at x = 16. Use implicit differentiation to find " x² + 4xy² = 17 Show all work. 17. The velocity, in meters per second, of a runner is given by the function v(t)=11e' +5t. A. Find the acceleration of the runner at time t = 3 seconds. Include the proper units. B. Find the position function given that the runner starts at a distance of 6 meters. 18. For f(x) = x¹ - 2x² +3: A. Find any critical numbers of f(x) and find intervals of increase/decrease. B. Give the coordinates of all local maxima and minima. C. Find the intervals of concavity and state the coordinates of any points of inflection. 4
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