Find an equation for the line perpendicular to the tangent to the curve y = x°- 16x + 6 at the point (4,6).

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 77E: Find the equation of the line perpendicular to the line y=3 and passing through the midpoint of the...
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3.3.55
a. Find an equation for the line perpendicular to the tangent to the curve y =x° - 16x + 6 at the point (4,6).
b. What is the smallest slope on the curve? At what point on the curve does the curve have this slope?
c. Find equations for the tangents to the curve at the points where the slope of the curve is 32.
a. The equation is y =
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Transcribed Image Text:3.3.55 a. Find an equation for the line perpendicular to the tangent to the curve y =x° - 16x + 6 at the point (4,6). b. What is the smallest slope on the curve? At what point on the curve does the curve have this slope? c. Find equations for the tangents to the curve at the points where the slope of the curve is 32. a. The equation is y = Enter your answer in the answer box and then click Check Answer. 3 parts remaining Clear All
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