Question

HELP!! suppose that x=x(t) and y=y(t) are both functions of t. if x^2+y^2=10, and dx/dt = -4 when x=3 and y =1, what is dy/dt?

Answer 1

using implicit differentiation you get
\[2x \frac{dx}{dt} + 2y \frac{dy}{dt} = 0\]
solving for dy/dt
\[\frac{dy}{dt} = -\frac{x \frac{dx}{dt}}{y}\]

Answer 2

so do i just plug in now?

Answer 3

i got -12/1 but it isnt correct

Answer 4

nvm