Assume that x and y are both differentiable functions of t and find the required values of dy/dt and dx/dt.
xy = 4
find dy/dt, given x = 4 and dx/dt = 13.

The process of finding the derivative of a dependent variable in an implicit function by differentiating each term separately, by expressing the derivative of the dependent variable as a symbol, and by solving the resulting expression for the symbol.

From the given expression, the value of dy/dx is calculated as follows;

xy = 4

y = 4/x

y = 4x⁻¹

dy/dx = -4x⁻² = -4/x²

dx/dt = 13

value of dy/dt

dy/dt = dy/dx . dx/dt

dy/dt = -4/x²(13) = -52/x²

Thus, the value of dy/dt is -52/x².

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Assume that x and y are both differentiable functions of t and find the required values of dy/dt and dx/dt. xy = 4 find dy/dt, given x = 4 and dx/dt = 13.

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value of dy/dt

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Assume that x and y are both differentiable functions of t and find the required values of dy/dt and dx/dt.
xy = 4
find dy/dt, given x = 4 and dx/dt = 13.