Question

If 2xy+y^2=5, then dy/dx+?

Answer 1

implicit differentiation ;)

Answer 2

yes help please

Answer 3

2y + (dy/dx)(2x) + 2y(dy/dx) = 5.
simplify.

Answer 4

the first part was the product rule.

Answer 5

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.

Answer 6

ok so would my answer be (-y)/(x+y) when simplified?

Answer 7

factor out the dy/dx and rearrange for the solve

Answer 8

-2y/(2x+2y) yeah

Answer 9

the 2s factor out

Answer 10

yay! I was hoping I got this one correct

Answer 11

good job :)