Respuesta :

the rate of change is -29/5x^2

Answer:

[tex]\frac{dy}{dt} = -\frac{29}{5}\cdot x^{-2}\cdot \frac{dx}{dt}[/tex]

Step-by-step explanation:

The rate of change is rate of how y changes in time in terms of the rate of change of x in time. It can be found by deriving the function once and applying chain rule:

[tex]y = \frac{29}{5}\cdot x^{-1}[/tex]

[tex]\frac{dy}{dt} = -\frac{29}{5}\cdot x^{-2}\cdot \frac{dx}{dt}[/tex]