Let f(x) = 30-√√x - 3x. a. Find all points on the graph off at which the tangent line is horizontal. 1 b. Find all points on the graph off at which the tangent line has slope - The tangent line is horizontal at the point(s) (Simplify your answer. Type an ordered pair. Use a comma to separate answers as needed.) 1 The tangent line has slope of H at the point(s) (Simplify your answer. Type an ordered pair. Use a comma to separate answers as needed.)

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
Section2.4: Writing And Graphing Equations Of Lines
Problem 19E: Use slope-intercept form to write an equation of a line passing through the give point and having...
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Let f(x) = 30-√√x - 3x.
a. Find all points on the graph off at which the tangent line is horizontal.
1
b. Find all points on the graph off at which the tangent line has slope -
The tangent line is horizontal at the point(s)
(Simplify your answer. Type an ordered pair. Use a comma to separate answers as needed.)
1
The tangent line has slope of
2
(Simplify your answer. Type an ordered pair. Use a comma to separate answers as needed.)
at the point(s)
Transcribed Image Text:Let f(x) = 30-√√x - 3x. a. Find all points on the graph off at which the tangent line is horizontal. 1 b. Find all points on the graph off at which the tangent line has slope - The tangent line is horizontal at the point(s) (Simplify your answer. Type an ordered pair. Use a comma to separate answers as needed.) 1 The tangent line has slope of 2 (Simplify your answer. Type an ordered pair. Use a comma to separate answers as needed.) at the point(s)
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