Let f(x) = 24 /x - 4x. a. Find all points on the graph off at which the tangent line is horizontal. 5 b. Find all points on the graph of f at which the tangent line has slope -5.

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.
Chapter4: Calculating The Derivative
Section4.1: Techniques For Finding Derivatives
Problem 36E: Find all points on the graph of fx=x3+9x2+19x-10 where the slope of the tangent line is -5.
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Let f(x) = 24/x - 4x.
a. Find all points on the graph off at which the tangent line is horizontal.
5
b. Find all points on the graph of f at which the tangent line has slope -5.
Transcribed Image Text:Let f(x) = 24/x - 4x. a. Find all points on the graph off at which the tangent line is horizontal. 5 b. Find all points on the graph of f at which the tangent line has slope -5.
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