If f(x) = 7x2 − x3, find f '(1) and use it to find an equation of the tangent line to the curve y = 7x2 − x3 at the point (1, 6)

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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If

f(x) = 7x2 − x3,

find f '(1) and use it to find an equation of the tangent line to the curve

y = 7x2 − x3

at the point (1, 6).

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