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
Chapter6: Exponential And Logarithmic Functions
Section6.7: Exponential And Logarithmic Models
Problem 14TI: The half-life of plutonium-244 is 80,000,000 years. Find function gives the amount of carbon-14...
Related questions
Question
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
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 1 images
Recommended textbooks for you
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning