Answer:
[tex]\displaystyle\frac{dy}{dt} = 1.296e^{0.072t}[/tex]
Step-by-step explanation:
We are given the following in the question:
[tex]y = 18e^{0.072t}[/tex]
We have to find the derivative of the function
The derivative can be done in the following manner:
[tex]\displaystyle\frac{dy}{dt} = \frac{d( 18e^{0.072t})}{dt}\\\\=18 e^{0.072t}\times 0.072\\\\=1.296e^{0.072t}[/tex]
Formula:
[tex]\displaystyle\frac{d(e^{ax})}{dx} = ae^{ax}[/tex]
Answer:
Step-by-step explanation:
y = 18e^0.072t
y' = 18(0.072)*e0.072t = 1.29*e0.072t
