Question

Let x²y +ay² = b be an Implicitly defined function, where a and b are fixed Constants; find dy/dx

Answer 1

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

Learn more on implicit differentiation here: brainly.com/question/25081524

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