A. Find the standard (slope-intercept form) equation of the tangent line to the following functions at the specified points: 1. f(x) = 3x² – 12x +1 at the point (0,1) Slope-intercept form: y= -12x + 1 2. ƒ(x) = 2x² - 4x + 5 at the point (-1,11) Slope-intercept form: y= -8x + 3 3. ƒ(x) = \x +9 at the point were x = 0 4. ƒ(x) = v25 – x² at the point were x = 4 5. f(x) = x² + vx at the point were x = 1 %3D %3D

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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A. Find the standard (slope-intercept form) equation of the tangent line to the following
functions at the specified points:
1. f(x) = 3x² – 12x + 1 at the point (0,1) Slope-intercept form: y= -12x + 1
2. f(x) = 2x² – 4x + 5 at the point (–1,11) Slope-intercept form: y= -8x + 3
3. f(x) = Vx + 9 at the point were x = 0
4. f(x) = v25 – x² at the point were x = 4
5. f(x) = x2 + vx at the point were x = 1
Transcribed Image Text:A. Find the standard (slope-intercept form) equation of the tangent line to the following functions at the specified points: 1. f(x) = 3x² – 12x + 1 at the point (0,1) Slope-intercept form: y= -12x + 1 2. f(x) = 2x² – 4x + 5 at the point (–1,11) Slope-intercept form: y= -8x + 3 3. f(x) = Vx + 9 at the point were x = 0 4. f(x) = v25 – x² at the point were x = 4 5. f(x) = x2 + vx at the point were x = 1
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