The slope of the tangent line at any point (x, y) on the curve 3x2 -2x+7 and the point (1, 3) is on the curve. What is the equation of the curve? x3 x2 +7x - 2 23 y= 3 y= 3x3 - 2x2 +7x-5 2y= x3 – x2 + 7x– 1

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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The slope of the tangent line at any point (x, y) on the curve 3x2 - 2 x+7 and the point (1. 3) is on the curve. What is the equation of the curve?
x3
y=
3
x2
23
+7x-
6
y=3x3 – 2x2 + 7x-5
O 2y= x3 – x2 + 7x-1
O y= x3 – x2 + 7x - 4
Transcribed Image Text:The slope of the tangent line at any point (x, y) on the curve 3x2 - 2 x+7 and the point (1. 3) is on the curve. What is the equation of the curve? x3 y= 3 x2 23 +7x- 6 y=3x3 – 2x2 + 7x-5 O 2y= x3 – x2 + 7x-1 O y= x3 – x2 + 7x - 4
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