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So I have no idea on how to do implicit differentiation:
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Find y' \[\LARGE xy=x-2y\]
What's the derivative of xy using implicit differentiation?
So I'll make an attempt: \[\LARGE \frac{d}{dx}(xy)=\frac{d}{dx}(x-2y)\] \[\LARGE (xy')+(y)=(1-2y')\] \[\LARGE (xy'+y)-(1-2y')=0\] Right so far?
yea
Just solve for y' now
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So next is: \[\LARGE xy'+2y'=-y+1\] \[\LARGE y'(x+2)=-y+1\] and tada? \[\LARGE y'=-\frac{y+1}{x+2}\]
Right
huh, well thank you c:
No problem
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