Question

Suppose Q = x^2 y^1 . If dQ/dt = -4 and dx/dt= -3, find dy/dt when x = 4 and y = 1 .

Answer 1

@jim_thompson5910

Answer 2

what did you get for dQ/dt in general?

Answer 3

I believe this is an implicit differentiation problem

Answer 4

Everything is a function of t. x and y are not special.

Answer 5

for dq/dt i got 2x2yy'

Answer 6

@jim_thompson5910

Answer 7

Use the product rule to get:
\[\Large Q = x^2y^1\]
\[\Large \frac{dQ}{dt} = 2x*y*\frac{dx}{dt}+x^2*\frac{dy}{dt}\]
Now plug in the given info and simplify.

Answer 8

okay, got it, thanks

Answer 9

np