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 usethe limit definition.cr+hf(s) dsLet F(x)| f(s) ds. Show that F'(r) = limh 0Hint:start with the limit definition and then combine the two integrals involved by thinkingabout area.the average value of a function on the

Answered: Image /qna-images/answer/b88de380-ea14-43b5-acf7-19379cbf00ac.jpg

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.

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.

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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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

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