Solving Related Rates Problems Practice Test

A point moves on $x^2 - y^2 = 15$; if $\frac{dx}{dt} = 2$, find $\frac{dy}{dt}$ at $(4,1)$.

A kite string length $s$ satisfies $s^2=x^2+144$; if $\frac{dx}{dt}=2$, find $\frac{ds}{dt}$ when $x=5$.