Theorem: The Chain Rule If m(x) = E[I(x)] is a composite function, then provided that E' [I(x)] and I'(x) exist. Om'(x)=E[I(x)]I'(x) ○ m'(x) = E' [I'(x)] Om'(x) = E' [I(x)]I'(x) Om'(x) = E'I' (x)] I'(x) Om'(x) = E[I'(x)]I'(x)
Theorem: The Chain Rule If m(x) = E[I(x)] is a composite function, then provided that E' [I(x)] and I'(x) exist. Om'(x)=E[I(x)]I'(x) ○ m'(x) = E' [I'(x)] Om'(x) = E' [I(x)]I'(x) Om'(x) = E'I' (x)] I'(x) Om'(x) = E[I'(x)]I'(x)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
question attached in ss below
thanks
angorinowrinhw
otihanet
ohiaetnh
oianeth
oaihn
aetiohae
na
in
![Theorem: The Chain Rule
If m(x) = E[I(x)] is a composite function, then
provided that E' [I(x)] and I'(x) exist.
Om'(x)=E[I(x)]I'(x)
○ m'(x) = E' [I'(x)]
Om'(x) = E' [I(x)]I'(x)
Om'(x) = E'I' (x)] I'(x)
Om'(x) = E[I'(x)]I'(x)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9cac52cf-c19f-4e3d-a995-6f3c7099178c%2Fbcce83d7-8df6-4263-afb3-e2a5bff5759e%2F6mhb5ui_processed.png&w=3840&q=75)
Transcribed Image Text:Theorem: The Chain Rule
If m(x) = E[I(x)] is a composite function, then
provided that E' [I(x)] and I'(x) exist.
Om'(x)=E[I(x)]I'(x)
○ m'(x) = E' [I'(x)]
Om'(x) = E' [I(x)]I'(x)
Om'(x) = E'I' (x)] I'(x)
Om'(x) = E[I'(x)]I'(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 3 images
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
