(8) Find the differential for the function using logarithmic differentiation. y = (sin x) (sec): dy = y'dr (sin x) (sec ) [sec r tan r In (sin r) + csc r] dr dy = y'dr = (sin x) (sec). secrtan x ln (sin x) csc r dr dy=y'dr = (sin x) (secr-1). dr dy = y'dr (sin x)(sec z-1) secr tan r dr (A) In y = sec z-In (sin r) (B) In y = sec z-In (sin z) (C) y = (sin r) z (D) y = = (sinz) z and so and so and so and so =

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
(8) Find the differential for the function using logarithmic differentiation. y = (sin x) (sec r):
dy = y'dx = (sin x) (sec ) [sec z tan x ln (sin r) + csc r) dr
dy = y'dr = (sin x) (seca).secx tan x
ln (sin x) csc r dr
.
dy = y'de = (sin x) (secr-1). dx
dy = y'dx = (sin x) (secr-1). secx tan r dr
(A) In y = sec z In (sin r)
.
= secz In (sin x)
Y
(B) In y
(C) y = (sin x)sec z
(D) y = (sin x)sz
and so
and so
and so
and so
.
Transcribed Image Text:(8) Find the differential for the function using logarithmic differentiation. y = (sin x) (sec r): dy = y'dx = (sin x) (sec ) [sec z tan x ln (sin r) + csc r) dr dy = y'dr = (sin x) (seca).secx tan x ln (sin x) csc r dr . dy = y'de = (sin x) (secr-1). dx dy = y'dx = (sin x) (secr-1). secx tan r dr (A) In y = sec z In (sin r) . = secz In (sin x) Y (B) In y (C) y = (sin x)sec z (D) y = (sin x)sz and so and so and so and so .
Expert Solution
steps

Step by step

Solved in 3 steps with 8 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