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Slopes and Tangents1. Horizontal Tangents Find equations
Chapter 3, Problem 56E(choose chapter or problem)
QUESTION:
Problem 56E
Slopes and Tangents
Horizontal Tangents Find equations for the horizontal tangents to the curve Also find equations for the line that are perpendicular to these tangents at the points of tangency.Smallest Slope What is the smallest slope on the curve? At what point on the curve does the curve have this slope? Find an equation for the line that is perpendicular to the curve’s tangent at this point.
Questions & Answers
QUESTION:
Problem 56E
Slopes and Tangents
Horizontal Tangents Find equations for the horizontal tangents to the curve Also find equations for the line that are perpendicular to these tangents at the points of tangency.Smallest Slope What is the smallest slope on the curve? At what point on the curve does the curve have this slope? Find an equation for the line that is perpendicular to the curve’s tangent at this point.ANSWER:
Solution Our aim is to find the horizontal tangent and the smallest slope on the given curve
Step 1 of 3 Given curve is
. . . . . . . . . . . . (1)