Evaluate dy/dt for the function at the point.

y√x+1 = 12; dx/dt = 8, x=15, y=3

1 answer

y√(x+1) = 12
√(x+1) dy/dt + y/2√(x+1) dx/dt = 0
Plugging in the given data,

4 dy/dt + 3/8 * 8 = 0
dy/dt = -3/4