Let k be a constant. Compute In(kx)] in two ways. a) Using the Chain Rule, first decompose y = In(kx) into an outside and inside function. Outside function (in terms of u): y = Inside function (in terms of x): u = Then find the derivative, (In(kx)] (simplify your answer). dr b) Using a law of logarithms to simplify first: IN(KT) = ? O n x. (Fill in the blanks to make this a true statement.) Now take the derivative of the simplified function: da
Let k be a constant. Compute In(kx)] in two ways. a) Using the Chain Rule, first decompose y = In(kx) into an outside and inside function. Outside function (in terms of u): y = Inside function (in terms of x): u = Then find the derivative, (In(kx)] (simplify your answer). dr b) Using a law of logarithms to simplify first: IN(KT) = ? O n x. (Fill in the blanks to make this a true statement.) Now take the derivative of the simplified function: da
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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![Let k be a constant. Compute In(kx)] in two ways.
a) Using the Chain Rule, first decompose y = In(kx) into an outside and inside function.
Outside function (in terms of u): y =
Inside function (in terms of x): u =
Then find the derivative, (In(kx)]
(simplify your answer).
b) Using a law of logarithms to simplify first:
In(KT) =
? O n x. (Fill in the blanks to make this a true statement.)
Now take the derivative of the simplified function:](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8c810153-6443-478b-b0c3-f7d4eb1c9488%2Fc9e4e574-6eac-4edf-838d-2f83166ef552%2Fph9mlkd_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Let k be a constant. Compute In(kx)] in two ways.
a) Using the Chain Rule, first decompose y = In(kx) into an outside and inside function.
Outside function (in terms of u): y =
Inside function (in terms of x): u =
Then find the derivative, (In(kx)]
(simplify your answer).
b) Using a law of logarithms to simplify first:
In(KT) =
? O n x. (Fill in the blanks to make this a true statement.)
Now take the derivative of the simplified function:
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