Question

consider the equation y = √x
Find dx/dt, given x = 64 and dy/dt = 7.

Answer 1

We have y = y(t). Then y' = dy/dt

We also have x = x(t). What is \(\dfrac{d}{dt}\sqrt{x}\)? You'll need a good Chain Rule.

Answer 2

thank you

Answer 3

A solution using Mathematica is attached.