Question

Assuming that x and y are both differentiable functions of t, find the required values of dy/dt and dx/dt.
x^2 + y^2 = 25
(a) dy/ dt when x=3, y=4, dy/dt=8
(b) dx/dt when x=4, y=3, dy/dt= -2

Answer 1

Differentiate both sides of the equation with respect to t.

Answer 2

yea i think so

Answer 3

Is this diff eqs? Separation of variables?

Answer 4

No, just taking the derivative of both sides with respect to t.

Answer 5

Oh I see