Differentiate tan (xt) with respect to x, assuming that t is implicitly a function of 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...
icon
Related questions
Question

Subject: algebra 

Differentiate tan (xt) with respect to x, assuming that t is implicitly a function of x.
(Use symbolic notation and fractions where needed. Use r' in place of #.)
d
(tan (x)) = sec²(x¹)(x¹3+138¹2)
dx
Incorrect
< Feedback
First, assume that t is implicitly a
function of x. Then, differentiate
tan (x¹) with respect to x using the
Chain Rule, the Product Rule, the
Derivative of Cotangent, and the Power
Rule. Finally, substitute = 1.
Transcribed Image Text:Differentiate tan (xt) with respect to x, assuming that t is implicitly a function of x. (Use symbolic notation and fractions where needed. Use r' in place of #.) d (tan (x)) = sec²(x¹)(x¹3+138¹2) dx Incorrect < Feedback First, assume that t is implicitly a function of x. Then, differentiate tan (x¹) with respect to x using the Chain Rule, the Product Rule, the Derivative of Cotangent, and the Power Rule. Finally, substitute = 1.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 5 images

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