f(1) = 4 s' (1) = -2 g (3) = 7 gʻ (3) = 1 The point (1, 3) lies on the curve in the xy-plane given by the equation f(x)g(v) = 24 +x+y, where f is a differentiable function of x and g is a differentiable function of y. Selected values of f fg, and g are given in the table above. What is the value of de at the point (1, 3)? -11 B 4 5 D 13

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.
Chapter6: Applications Of The Derivative
Section6.CR: Chapter 6 Review
Problem 48CR
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f(1) = 4
f' (1) = -2
g (3) = 7
g' (3) = 1
The point (1, 3) lies on the curve in the xy-plane given by the equation f(x)g(y) = 24 +x + y, where f is a differentiable function of x and g is a differentiable function of y. Selected values of f,
f,g, and g' are given in the table above. What is the value of
dy
at the point (1, 3) ?
dx
-11
B
4
13
Transcribed Image Text:f(1) = 4 f' (1) = -2 g (3) = 7 g' (3) = 1 The point (1, 3) lies on the curve in the xy-plane given by the equation f(x)g(y) = 24 +x + y, where f is a differentiable function of x and g is a differentiable function of y. Selected values of f, f,g, and g' are given in the table above. What is the value of dy at the point (1, 3) ? dx -11 B 4 13
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