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16 December, 00:16

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

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  1. 16 December, 00:43
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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) + x f′ (x)) + 2x=0

    more easiliy written as

    2y y′ = 4 (y+x y′) + 2x=0
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