If f(x) = 9x2 – x³, find f'(2) and use it to find an equation of the tangent line to the curve y = 9x2 – x³ at the point (2, 28).

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) = 9x2 - x³, find f'(2) and use it to find an equation of the tangent line to the curve y = 9x2 – x at the point (2, 28).
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Transcribed Image Text:If f(x) = 9x2 - x³, find f'(2) and use it to find an equation of the tangent line to the curve y = 9x2 – x at the point (2, 28). %3D
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  • Equation of line : y-y1 = mx-x1 where x1,y1 is the point and 'm' is the slope of the line.
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