What is the derivative of xy with respect to t, when x=8 and dx/dt=10?

[homeylova223]

Hello everyone I have a two question


my first one is differentiate with respect to t

y=x^2-3x find dy/dt when x=3 and dx/dt=2

This is what I did
dy/dt=2x dx/dt (I am stuck right here)


my second one is

xy=4 find dy/dt when x=8 dx/dt=10

 

[MisterX]

Hello everyone I have a two question


my first one is differentiate with respect to t

y=x^2-3x find dy/dt when x=3 and dx/dt=2

This is what I did
dy/dt=2x dx/dt (I am stuck right here)

What is the derivative of -3x with respect to t, in terms of dx/dt?

my second one is

xy=4 find dy/dt when x=8 dx/dt=10

First, solve for y, using the first equation. Then get dy/dt in terms of x and dx/dt using the chain rule.