Question

ap calculus please help:

if a^2 = R^2 + h^2, find dA/dt when A = 10, R = 8, dR/dt = 1/2, and dh/dt = 1/3

Answer 1

I may be wrong, but it looks like you just need to use implicit differentiation and then plug in and solve for dA/dt?

Answer 2

So you'd get 2a (da/dt) = 2R(dR/dt) + 2h (dh/dt)

Answer 3

At this point you can move everything over and solve, no?

Answer 4

ok thats what i was thinking, like using chain rule, but i wasn't sure! thank you!

Answer 5

Yep, no problem! Good luck!