Implicit Differentiation

Blitze105

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Aug 28, 2008
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I cant solve this...

I have no idea how to do it. And i believe my step 1 is off completely.
 

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You're on the right track...sort of. So, you must have some idea. You just forgot about the product rule. A common oversight when doing implicit diff.

\(\displaystyle x^{3}y^{3}+y^{2}=16\)

\(\displaystyle \underbrace{x^{3}\cdot 3y^{2}y'+y^{3}\cdot 3x^{2}}_{\text{product rule}}+2yy'=0\)
 
Oh wow.. i completely forgot to apply the product rule...
Thank you for your help!
~blitze
 
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