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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. 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)

Calculus For The Life Sciences
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. 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)
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)
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