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# Implicit differentiation C4 question? watch

1. Find dy/dx when x^2+2xy+y^2=3. Explain your answer by factorising the left hand side of the original equation.

I found dy/dx to be -1.

I can factorise the left handside of the equation (x+y)^2=3

But how does any of this relate?
2. If you were to 'solve' for x and y then you would have which is a straight line, hence the constant gradient - only a line has this property quite clearly.

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Updated: January 17, 2017
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