Question

Use the equation and given derivative to find the specified derivative.
y=3x+5 given that dx/dt=2, find dy/dt when x=1

Answer 1

\[y=3x+5\]
\[\frac{dy}{dt}=\frac{dy}{dx}\frac{dx}{dt}\]

Answer 2

you know
\[\frac{dy}{dx}=3\] and you are also told that
\[\frac{dx}{dt}=2\] and this makes
\[\frac{dy}{dt}=3\times 2=6\] a constant, so it is 6 no matter what x is

Answer 3

thank you!