Derivatives from tangent lines Suppose the line tangent to the graphof f at x = 2 is y = 4x + 1 and suppose the line tangent to thegraph of g at x = 2 has slope 3 and passes through (0, -2). Find anequation 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)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
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Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
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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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