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Assume that functions f and g are differentiable with f( - 5) = 2, f'(- 5) = 4, g(- 5) = 3, and g'(- 5) = 2. 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.)

Assume that functions f and g are differentiable with f( - 5) = 2, f'(- 5) = 4, g(- 5) = 3, and g'(- 5) = 2. 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.)

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter7: Integration
Section7.1: Antiderivatives
Problem 7YT: YOUR TURN Find an equation of the curve whose tangent line has slope f(x)=3x1/2+4 and passes through...
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Assume that functions f and g are differentiable with f( - 5) = 2, f'(- 5) = 4, g(- 5) = 3, and g'(- 5) = 2. 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) = 2, f'(- 5) = 4, g(- 5) = 3, and g'(- 5) = 2. 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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