If m(x) = E[I(x)] is a composite function, then and I'(x) exist. O m'(x) = E[I(x)]I'(x) ○ 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) , provided that E' [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.
Chapter5: Graphs And The Derivative
Section5.CR: Chapter 5 Review
Problem 16CR
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If m(x) = E[I(x)] is a composite function, then
and I'(x) exist.
O m'(x) = E[I(x)]I'(x)
○ 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)
, provided that E' [I(x)]
Transcribed Image Text:If m(x) = E[I(x)] is a composite function, then and I'(x) exist. O m'(x) = E[I(x)]I'(x) ○ 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) , provided that E' [I(x)]
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