Use logarithmic differentiation to find (dy)/(dx) y = ((e ^ x)/(sin x)) ^ 3

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...
Question
100%

Use logarithmic differentiation to find (dy)/(dx) y = ((e ^ x)/(sin x)) ^ 3

Use logarithmic differentiation to find d
A) dy
dx
OB) dy
OC) dy
3
B) dy - 3(²)(²)
dx
sinx
OD) dy
sinx
3
C) dx = 3 (²)*(1-cot:
–
sinx
= 3
2
sinx
y
ww
sinx
3
Transcribed Image Text:Use logarithmic differentiation to find d A) dy dx OB) dy OC) dy 3 B) dy - 3(²)(²) dx sinx OD) dy sinx 3 C) dx = 3 (²)*(1-cot: – sinx = 3 2 sinx y ww sinx 3
Expert Solution
Step 1

We will find the required derivative. 

steps

Step by step

Solved in 2 steps with 1 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