Assume x and y are differentiable functions of t, related by the equation: x2+xy-y2=-31 If x = -3, y = 5, and dy/dt = -1, find dx/dt.  Enter the exact answer, ie, no decimals.

Calculus For The Life Sciences
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Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
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Chapter4: Calculating The Derivative
Section4.4: Derivatives Of Exponential Functions
Problem 37E: Use graphical differentiation to verify that ddxex=ex.
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Assume x and y are differentiable functions of t, related by the equation:

x2+xy-y2=-31

If x = -3, y = 5, and dy/dt = -1, find dx/dt.  Enter the exact answer, ie, no decimals.

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