Assume that f is differentiable on a sxsb, ab, and that f(b) < (a). Show that P' is negative at some point between a and b. Kb) - {(a) Consider the line through the points (a.f(a) and (b.(b)) Its slope is given by the formula m= b-a Choose the true statement below. O A. The slope is positive because f(b) > f(a) and b>a. B. The slope is negative because f(b) > f(a) and ba. O00O

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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Assume that f is differentiable on asxsb, atb, and that f(b) < f(a). Show that f' is negative at some point between a and
b.
Consider the line through the points (a.f(a)) and (b.f(b)) Ils slope is given by the formula m=-
(b) - (а)
b-a
Choose the true
statement below.
O A. The slope is positive because f(b) > f(a) and b>a.
B. The slope is negative because f(b) > f(a) and b<a.
C. The slope is positive because f(b) < f(a) and b<a.
D. The slope is negative because f(b) < f(a) and b>a.
Transcribed Image Text:Assume that f is differentiable on asxsb, atb, and that f(b) < f(a). Show that f' is negative at some point between a and b. Consider the line through the points (a.f(a)) and (b.f(b)) Ils slope is given by the formula m=- (b) - (а) b-a Choose the true statement below. O A. The slope is positive because f(b) > f(a) and b>a. B. The slope is negative because f(b) > f(a) and b<a. C. The slope is positive because f(b) < f(a) and b<a. D. The slope is negative because f(b) < f(a) and b>a.
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