Question

xy+x=12, dx/dt=-3, x=2, y=5 find dy/dt

Answer 1

\[y+xy'+1=0\] put \[x=2,y=5\] solve for \(y'\)

Answer 2

\[y \frac{ dx }{ dt }+x \frac{ dy }{ dt }+\frac{ dx }{ dt }=0\]

Answer 3

and plug everything in (:

Answer 4

ohhh waitt i think that's wrong

Answer 5

Nevermind, it's correct

Answer 6

what is dy/dt?

Answer 7

by implicit differentiation and the chain rule

Answer 8

\[(xy \prime+yx \prime)+x \prime=0\]

Answer 9

\[y \prime \] is dy/dt and\[x \prime \] is dx/dt

Answer 10

thanks so much ill would the answer be -3? or -9? those are two i have came up with

Answer 11

It should be 9, not -9