At which points on the curve  y = 1 + 40x3 − 3x5  does the tangent line have the largest slope?

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.2: Introduction To Conics: parabolas
Problem 4ECP: Find an equation of the tangent line to the parabola y=3x2 at the point 1,3.
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At which points on the curve 

y = 1 + 40x3 − 3x5

 does the tangent line have the largest slope?

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