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? 2y= x3 – x2 + 7x- 1 О у-х3- х2 + 7х-4 О у-3x3 -2x? +7х-5 x3 x2 +7x- 2 23 y= 3 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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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?
2y= x3 – x2 + 7x – 1
- X
O y= x3 - x2 + 7x - 4
O y=3x3 - 2x² +7x-5
x3
x2
+7x-
23
y=
3
2
6
Transcribed Image Text: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? 2y= x3 – x2 + 7x – 1 - X O y= x3 - x2 + 7x - 4 O y=3x3 - 2x² +7x-5 x3 x2 +7x- 23 y= 3 2 6
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