Theorem: Product Rule If f(x) = F(x)S(x) is the product of differentiable functions, then f'(x) = S(x)F'(x) F(x)S' (x) [S(x)]² O f'(x) = F(x)S' (x) + S(x)F' (x) O f'(x) = F'(x)S' (x) + S(x)F(x) O f'(x) = F(x)S' (x) – S(x)F" (x) O f'(x) = F'[S(x)]S'(x) O f'(x) = F'(x)S" (x)
Theorem: Product Rule If f(x) = F(x)S(x) is the product of differentiable functions, then f'(x) = S(x)F'(x) F(x)S' (x) [S(x)]² O f'(x) = F(x)S' (x) + S(x)F' (x) O f'(x) = F'(x)S' (x) + S(x)F(x) O f'(x) = F(x)S' (x) – S(x)F" (x) O f'(x) = F'[S(x)]S'(x) O f'(x) = F'(x)S" (x)
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter9: Multivariable Calculus
Section9.CR: Chapter 9 Review
Problem 54CR
Related questions
Question
![Theorem: Product Rule
If f(x) = F(x)S(x) is the product of differentiable functions, then
f'(x) =
S(x)F'(x) F(x)S' (x)
[S(x)]²
O f'(x) = F(x)S' (x) + S(x)F' (x)
O f'(x) = F'(x)S' (x) + S(x)F(x)
○ f'(x) = F(x)S" (x) – S(x)F' (x)
-
○ f'(x) = F'[S(x)]S′(x)
O f'(x) = F'(x)S" (x)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3e723b24-d59d-4231-b966-9a7027336941%2F70a25e07-63ec-46ed-b18d-d9109e368690%2Fo1fiooh_processed.png&w=3840&q=75)
Transcribed Image Text:Theorem: Product Rule
If f(x) = F(x)S(x) is the product of differentiable functions, then
f'(x) =
S(x)F'(x) F(x)S' (x)
[S(x)]²
O f'(x) = F(x)S' (x) + S(x)F' (x)
O f'(x) = F'(x)S' (x) + S(x)F(x)
○ f'(x) = F(x)S" (x) – S(x)F' (x)
-
○ f'(x) = F'[S(x)]S′(x)
O f'(x) = F'(x)S" (x)
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 3 steps with 2 images
Recommended textbooks for you
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning