I cant solve this... I have no idea how to do it. And i believe my step 1 is off completely.
B Blitze105 New member Joined Aug 28, 2008 Messages 27 Oct 4, 2008 #1 I cant solve this... I have no idea how to do it. And i believe my step 1 is off completely. Attachments implicit.jpg 28.6 KB · Views: 91
G galactus Super Moderator Staff member Joined Sep 28, 2005 Messages 7,216 Oct 4, 2008 #2 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. \(\displaystyle x^{3}y^{3}+y^{2}=16\) \(\displaystyle \underbrace{x^{3}\cdot 3y^{2}y'+y^{3}\cdot 3x^{2}}_{\text{product rule}}+2yy'=0\)
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. \(\displaystyle x^{3}y^{3}+y^{2}=16\) \(\displaystyle \underbrace{x^{3}\cdot 3y^{2}y'+y^{3}\cdot 3x^{2}}_{\text{product rule}}+2yy'=0\)
B Blitze105 New member Joined Aug 28, 2008 Messages 27 Oct 4, 2008 #3 Oh wow.. i completely forgot to apply the product rule... Thank you for your help! ~blitze