1. Find the standard (slope-intercept form) equation of the tangent line to the following functions at the specific points. Show your solution. a. f(x) = 3x² – 12x + 1 at the point (0,1)

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section: Chapter Questions
Problem 7T
Topic Video
Question
1. Find the standard (slope-intercept form) equation of the tangent line to the following functions
at the specific points. Show your solution.
a. f(x) = 3x? – 12x + 1 at the point (0,1)
b. f(x) = 2x2 – 4x + 5 at the point (-1,11)
c. f(x) = Vx + 9 at the point x = 0
d. f(x) = v25 + x² at the point x = 4
e. f(x) = x² + Vx at the point x = 1
Transcribed Image Text:1. Find the standard (slope-intercept form) equation of the tangent line to the following functions at the specific points. Show your solution. a. f(x) = 3x? – 12x + 1 at the point (0,1) b. f(x) = 2x2 – 4x + 5 at the point (-1,11) c. f(x) = Vx + 9 at the point x = 0 d. f(x) = v25 + x² at the point x = 4 e. f(x) = x² + Vx at the point x = 1
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