Respuesta :

Given:

[tex]f(t)=50e^{(0.02t)}[/tex]

Differentiate with respect to t ,

[tex]\begin{gathered} f^{\prime}(t)=50\times0.02\times e^{(0.02t)} \\ =50\times\frac{2}{100}\times e^{(0.02t)} \\ =e^{(0.02t)} \end{gathered}[/tex]