If fix) is a differentiable function on [3,7], then there is a c-value in (3,7) such that f(c) is the same as the slope of the and x-7. This is the result from which of the following theorems? the Intermediate Value Theorem the Rolle's Theorem the Mean Value Theorem the Fermat's Theorem the Fundamental Theorem of Calculus

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.1: Inverse Functions
Problem 18E
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Question 21
If fx) is a differentiable function on [3,7], then there is a c-value in (3,7) such that f(c) is the same as the slope of the secant line of f at x-3
and x-7. This is the result from which of the following theorems?
the Intermediate Value Theorem
the Rolle's Theorem
the Mean Value Theorem
the Fermat's Theorem
the Fundamental Theorem of Calculus
Transcribed Image Text:Question 21 If fx) is a differentiable function on [3,7], then there is a c-value in (3,7) such that f(c) is the same as the slope of the secant line of f at x-3 and x-7. This is the result from which of the following theorems? the Intermediate Value Theorem the Rolle's Theorem the Mean Value Theorem the Fermat's Theorem the Fundamental Theorem of Calculus
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