Answer:
[tex]y'=33.6e^{-1.4t}[/tex]
Step-by-step explanation:
[tex]y = 24e^{-1.4t}[/tex]
take derivative with respect to t
[tex]\frac{dy}{dt} =24 \frac{d(e^{-1.4t})}{dt}[/tex]
derivative of e^t is e^t
derivative of -1.4t is -1.4
[tex]\frac{dy}{dt} =24 \frac{d(e^{-1.4t})}{dt}[/tex]
Apply chain rule
[tex]\frac{dy}{dt} =24(e^{-1.4t})(-1.4)[/tex]
[tex]y'=33.6e^{-1.4t}[/tex]
