Theorem: The Chain Rule If m(x) = E[I(x)] is a composite function, then provided that E' [I(x)] and I'(x) exist. ○ m'(x) = E[I(x)]I'(x) O m' (x) = E' [I'(x)] Om'(x) = E' [I(x)]I'(x) O m'(x) = E' [I'(x)]I'(x) O m'(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. ○ m'(x) = E[I(x)]I'(x) O m' (x) = E' [I'(x)] Om'(x) = E' [I(x)]I'(x) O m'(x) = E' [I'(x)]I'(x) O m'(x) = E[I'(x)]I'(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.
Chapter4: Calculating The Derivative
Section4.CR: Chapter 4 Review
Problem 5CR: Determine whether each of the following statements is true or false, and explain why. The chain rule...
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![Theorem: The Chain Rule
If m(x) = E[I(x)] is a composite function, then
provided that E' [I(x)] and I'(x) exist.
○ m'(x) = E[I(x)]I'(x)
O m' (x) = E' [I'(x)]
Om'(x) = E' [I(x)]I'(x)
O m'(x) = E' [I'(x)]I'(x)
O m'(x) = E[I'(x)]I'(x)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9cac52cf-c19f-4e3d-a995-6f3c7099178c%2F3e0ff0dd-7925-4444-96c6-590e2e6401b4%2Fsz73t8_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.
○ m'(x) = E[I(x)]I'(x)
O m' (x) = E' [I'(x)]
Om'(x) = E' [I(x)]I'(x)
O m'(x) = E' [I'(x)]I'(x)
O m'(x) = E[I'(x)]I'(x)
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