Respuesta :

The value of the differential with respect to x is -xy/x²+ay

Implicit differentiation

Given the following function

x²y +ay² = b

We are to differentiate implicitly with respect to x

x²dy/dx + 2xy + 2aydy/dx = 0

(2x²+2ay)dy/dx = -2xy
dy/dx = -xy/x²+ay

Hence the value of the differential with respect to x is -xy/x²+ay

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