Solution assignment 08 Implicit differentiation

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Assignment 8

y is a differentiable function of x satisfying the following equation:

2x^2+6xy+y^2=18

Calculate y'.

Solution

Differentiating the left- and right-hand side gives:

4x+6y+6xy'+2yy'=0

and thus:

y'=-\displaystyle\frac{2x+3y}{3x+y}

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