Question

How could I go about solving this problem:
If x^2+y^2=25 and dy/dt=6, find dx/dt when y=4 and x=3.

Answer 1

\[2x \frac{ dx }{ dt } + 2y \frac{ dy }{ dt } = 0\] differentiate both sides wrt to t. Now find dx/dt and plug in the values.

Answer 2

Ohhh okay! Thanks so much! :)

Answer 3

It's implicit differentiation :)

Answer 4

No problem!

Answer 5

Right! I always get confused about the "with respect to..." part xD but I got what you did here! :D

Answer 6

You may have got confused because you may not be used to differentiating with respect to t, which just means x and y are functions of t :)

Answer 7

Ahhh that's true! That makes total sense haha XD

Answer 8

Many thanks! :D

Answer 9

Np :)