anonymous
  • anonymous
If 2xy+y^2=5, then dy/dx+?
Mathematics
jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
implicit differentiation ;)
anonymous
  • anonymous
yes help please
anonymous
  • anonymous
2y + (dy/dx)(2x) + 2y(dy/dx) = 5. simplify.

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anonymous
  • anonymous
the first part was the product rule.
anonymous
  • anonymous
2xy+y^2=5 = product rule on (2xy) + differentiate with respect to x (y^2) = 5 except the constant would get removed. so it's actually. 2y + (dy/dx)(2x) + 2y(dy/dx) = 0. sorry.
anonymous
  • anonymous
ok so would my answer be (-y)/(x+y) when simplified?
amistre64
  • amistre64
factor out the dy/dx and rearrange for the solve
amistre64
  • amistre64
-2y/(2x+2y) yeah
amistre64
  • amistre64
the 2s factor out
anonymous
  • anonymous
yay! I was hoping I got this one correct
anonymous
  • anonymous
good job :)

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