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)
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
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 4T
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Rate of Change
The relation between two quantities which displays how much greater one quantity is than another is called ratio.
Slope
The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as:
Question
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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