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implicit differentiation y^2 +4xy +x^2 = 13... i need to know how the 4xy gets differentiated with product rule
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implicit differentiation y^2 +4xy +x^2 = 13... i need to know how the 4xy gets differentiated with product rule

User Malajedala
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y^2 + 4xy + x^2 = 13

 f^2(x) + 4x f(x) + x^2 = 13

 2f(x)f′(x)+4(f(x)+xf′(x))+2x=0

 more easiliy written as

2yy′=4(y+xy′)+2x=0
User Leo Farmer
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