Ex 2. i) Determine whether the Mean Value Theorem applies to the function f(x) = 7-x² on the interval [-1,2]. Then apply the MVT to find all the numbers c in the open interval (-1,2) such that f'(c) = (2)-(-1) 2-(-1) ii) Find the equation of the secant line passing through the end points of f(x) on the interval [-1,2].

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.
Chapter3: The Derivative
Section3.CR: Chapter 3 Review
Problem 12CR: Determine whether each of the following statements is true or false and explain why. The derivative...
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Calculus I

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Ex 2.
i) Determine whether the Mean Value Theorem applies to the function f(x) = 7-x² on the interval [-1,2]. Then
apply the MVT to find all the numbers c in the open interval (-1,2) such that f'(c) =
(2)-(-1)
2-(-1)
ii) Find the equation of the secant line passing through the end points of f(x) on the interval [-1,2].
iii) Find the equation of the tangent line passing through the point from part i.
Transcribed Image Text:Ex 2. i) Determine whether the Mean Value Theorem applies to the function f(x) = 7-x² on the interval [-1,2]. Then apply the MVT to find all the numbers c in the open interval (-1,2) such that f'(c) = (2)-(-1) 2-(-1) ii) Find the equation of the secant line passing through the end points of f(x) on the interval [-1,2]. iii) Find the equation of the tangent line passing through the point from part i.
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