3. Now, let's prove the theorem. Remember, to prove something about a derivative, we use the limit definition. S* F(s) ds Hint: cr+h Let F(z) = | f(s) ds. Show that F'(x) = lim h→0 start with the limit definition and then combine the two integrals involved by thinking about area.

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Chapter1: Functions And Models
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How would I prove this theorem
2021FallMATH111Activity24 (24 of 29)
全し
3. Now, let's prove the theorem. Remember, to prove something about a derivative, we use
the limit definition.
cr+h
f(s) ds
Let F(x)
| f(s) ds. Show that F'(r) = lim
h 0
Hint:
start with the limit definition and then combine the two integrals involved by thinking
about area.
the average value of a function on the
Transcribed Image Text:2021FallMATH111Activity24 (24 of 29) 全し 3. Now, let's prove the theorem. Remember, to prove something about a derivative, we use the limit definition. cr+h f(s) ds Let F(x) | f(s) ds. Show that F'(r) = lim h 0 Hint: start with the limit definition and then combine the two integrals involved by thinking about area. the average value of a function on the
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