Homework Help is Here – Start Your Trial Now!
Math
Calculus
33-34 For what values of x does the graph of f have a horizontal tangent? Hercnt 33. f(x) = x + 2 sin x 34. f(x) = e* cos x

33-34 For what values of x does the graph of f have a horizontal tangent? Hercnt 33. f(x) = x + 2 sin x 34. f(x) = e* cos x

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
Question

#33

SECTION 3.3 DERIVATIVES OF TRIGONOMETRIC FUNCTIONS 197 29. If H(0) = 0 sin 6, find H'(0) and H"(0). O osot Sine 30. If f(t) = csc t, find f"(#/6). CsC x 31. (a) Use the Quotient Rule to differentiate the function 1. sec x (x)f (b) Simplify the expression for f(x) by writing it in terms of sin x and cos x, and then find f'(x). (c) Show that your answers to parts (a) and (b) are equivalent. bot (p 32. Suppose f(T/3) = 4 and f'(7/3) = -2, and let g(x) = f(x) sin x and h(x) = (cos x)/f(x). Find (a) g'(T/3) 38-48 (b) h'(/3) 38 33-34 For what values of x does the graph of f have a horizontal tangent? 15 niz 34. f(x) = e* cos x 33. f(x) = x + 2 sin x %3| 35. A mass on a spring vibrates horizontally on a smooth level surface (see the figure). Its equation of motion is n x(t) = 8 sin t, where t is in seconds and x in centimeters. (a) Find the velocity and acceleration at time t. (b) Find the position, velocity, and acceleration of the mass at time t = 2™/3. In what direction is it moving at that %3D time? equilibrium position ps bie 01
Transcribed Image Text:SECTION 3.3 DERIVATIVES OF TRIGONOMETRIC FUNCTIONS 197 29. If H(0) = 0 sin 6, find H'(0) and H"(0). O osot Sine 30. If f(t) = csc t, find f"(#/6). CsC x 31. (a) Use the Quotient Rule to differentiate the function 1. sec x (x)f (b) Simplify the expression for f(x) by writing it in terms of sin x and cos x, and then find f'(x). (c) Show that your answers to parts (a) and (b) are equivalent. bot (p 32. Suppose f(T/3) = 4 and f'(7/3) = -2, and let g(x) = f(x) sin x and h(x) = (cos x)/f(x). Find (a) g'(T/3) 38-48 (b) h'(/3) 38 33-34 For what values of x does the graph of f have a horizontal tangent? 15 niz 34. f(x) = e* cos x 33. f(x) = x + 2 sin x %3| 35. A mass on a spring vibrates horizontally on a smooth level surface (see the figure). Its equation of motion is n x(t) = 8 sin t, where t is in seconds and x in centimeters. (a) Find the velocity and acceleration at time t. (b) Find the position, velocity, and acceleration of the mass at time t = 2™/3. In what direction is it moving at that %3D time? equilibrium position ps bie 01
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 1 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
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