75. Derivatives from tangent lines Suppose the line tangent to the graph of f at x = 2 is y = 4x + 1 and suppose the line tangent to the graph of g at x = 2 has slope 3 and passes through (0, – 2). Find an equation of the line tangent to the following curves at x = 2. = f(x)+g(x) = f(x) – 29(x) c. y = 4f(x) a. y b. y =

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter8: Graphing Quadratic Functions
Section: Chapter Questions
Problem 17CT
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75. Derivatives from tangent lines Suppose the line tangent to the graph of f at x = 2 is y = 4x +1 and suppose the line
tangent to the graph of g at x = 2 has slope 3 and passes through (0, – 2). Find an equation of the line tangent to the
following curves at x =
2.
a. y = f(x) + g(x)
b. y = f(x) – 2g(x)
c. y = 4f(x)
Transcribed Image Text:75. Derivatives from tangent lines Suppose the line tangent to the graph of f at x = 2 is y = 4x +1 and suppose the line tangent to the graph of g at x = 2 has slope 3 and passes through (0, – 2). Find an equation of the line tangent to the following curves at x = 2. a. y = f(x) + g(x) b. y = f(x) – 2g(x) c. y = 4f(x)
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