Answer
$dy/dt=3$
Work Step by Step
We have $y=x^2+7x-5$ and $dx/dt=1/3$
According to the Chain Rule: $$\frac{dy}{dt}=\frac{dy}{dx}\frac{dx}{dt}=\frac{1}{3}\frac{dy}{dx}$$
$dy/dx$ refers to the derivative of $y$, which is $y'=2x+7$.
That means,
$$\frac{dy}{dt}=\frac{2x+7}{3}$$
For $x=1$: $$\frac{dy}{dt}=\frac{2\times1+7}{3}=3$$
