suppose y=√(2x+1), where x and y are functions of t.

a)if dx/dt=3, find dy/dt when x=4
b)if dy/dt=5, find dx/dt when x=12

1 answer

y = √(2x+1)
dy/dt = 1/√(2x+1) dx/dt

dy/dt = 1/√9 (3) = 1
5 = 1/√25 dx/dt, so dx/dt = 25