Mathematics, 12.01.2020 19:31 innocentman69
Find the second derivative of (x^2)(y^2)-12x=8 (implicit differentiation).
Answers: 1
![\bf x^2y^2-12x=8\\\\ -----------------------------\\\\ 2xy^2+x^22y\cfrac{dy}{dx}-12x=0\implies 2x\left[ y^2+xy\cfrac{dy}{dx}-6 \right]=0 \\\\\\ xy\cfrac{dy}{dx}=6-y^2\implies \boxed{\cfrac{dy}{dx}=\cfrac{6-y^2}{xy}}](/tpl/images/0452/0134/8d3a3.png)
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Find the second derivative of (x^2)(y^2)-12x=8 (implicit differentiation)....
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