Let f(x) = 5 on [−3, 1]. x+5 Find all numbers c in [-3, 1] for which the derivative is equal to the slope of the secant line connecting the function endpoints. If there is more than one such number c, use a comma to separate your answers. Round to the nearest thousandth. If there is no such number c, type "does not exist" in the entry box.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
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Let f (x) = 25 on [-3, 1].
x+5
Find all numbers c in [-3, 1] for which the derivative is equal to the slope of the secant line
connecting the function endpoints.
If there is more than one such number c, use a comma to separate your answers. Round to the
nearest thousandth.
If there is no such number c, type "does not exist" in the entry box.
Transcribed Image Text:Let f (x) = 25 on [-3, 1]. x+5 Find all numbers c in [-3, 1] for which the derivative is equal to the slope of the secant line connecting the function endpoints. If there is more than one such number c, use a comma to separate your answers. Round to the nearest thousandth. If there is no such number c, type "does not exist" in the entry box.
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