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Solution assignment 02 Implicit differentiation

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Assignment 2

Calculate y' if:

(x^3-1)(1+y)=3

Solution

Implicit differentiation using the product rule gives:

3x^2(1+y)+(x^3-1)y'=0

y'=-\displaystyle\frac{3x^2(1+y)}{x^3-1}

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