e are given the logarithmic function fx) = In(/x + 6). We note that this function is of the form In(g(x)), where g(x) = /x + 6. ecall that since g(x) = Vx + 6 is a differentiable function, then _[In(g(x))] = 9. Applying this rule gives the following result. g(x) Ex) = dx Vx + 6
e are given the logarithmic function fx) = In(/x + 6). We note that this function is of the form In(g(x)), where g(x) = /x + 6. ecall that since g(x) = Vx + 6 is a differentiable function, then _[In(g(x))] = 9. Applying this rule gives the following result. g(x) Ex) = dx Vx + 6
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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1.5) Calculus homework
![Tutorial Exercise
Find the derivative of the function.
f(x) = In(Vx + 6)
Step 1
We are given the logarithmic function f(x) = In(/x + 6). We note that this function is of the form In(g(x)), where g(x) = Vx + 6.
Recall that since g(x) = Vx + 6 is a differentiable function, then [In(g(x)] = ). Applying this rule gives the following result.
%3D
dx
g(x)
dx
f'(x)
Vx + 6](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7e91ef2f-0fec-4dc0-a571-4bb13a121b69%2Fe06c39a3-529c-4b5e-b28a-09c9f06b6413%2Ftasrb8_processed.png&w=3840&q=75)
Transcribed Image Text:Tutorial Exercise
Find the derivative of the function.
f(x) = In(Vx + 6)
Step 1
We are given the logarithmic function f(x) = In(/x + 6). We note that this function is of the form In(g(x)), where g(x) = Vx + 6.
Recall that since g(x) = Vx + 6 is a differentiable function, then [In(g(x)] = ). Applying this rule gives the following result.
%3D
dx
g(x)
dx
f'(x)
Vx + 6
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