2 Let f(x) = ₂²5 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
Chapter2: Functions And Graphs
Section2.1: Functions And Function Notation
Problem 27E: Assume that all variables represent real numbers. Determine whether each equation determines y to be...
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Let f (x) = ²/5
2 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) = ²/5 2 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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