Assume that functions f and g are differentiable with f(-5)= 5, f'(-5)= - 3, g(-5)= -4, and g'(-5)= 4. Find an equation of the line tangent to the graph of F(x) = f(x)g(x) at x = -5. The equation of the tangent line is (Type an equation using x and y as the variables.)

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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Assume that functions f and g are differentiable with f(-5)= 5, f'(-5)= - 3, g(-5)= -4, and gʻ(-5) = 4. Find an equation of the line tangent to the graph of
F(x) = f(x)g(x) at x = -5.
The equation of the tangent line is
(Type an equation using x and y as the variables.)
Transcribed Image Text:Assume that functions f and g are differentiable with f(-5)= 5, f'(-5)= - 3, g(-5)= -4, and gʻ(-5) = 4. Find an equation of the line tangent to the graph of F(x) = f(x)g(x) at x = -5. The equation of the tangent line is (Type an equation using x and y as the variables.)
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