consider that the input function to the system is represented by the following continuous expression that models an exponential input: f(t)=Aoɣe^-ɣt where: Ao=500 [mg] is the initial amount of amoxicillin. γ=1.12 [h-1] is the rate at which the input function decays. Using continuous analysis, it determines the output signal. Also, obtain an analytical expression to determine the point in time where a higher concentration of amoxicillin will exist.

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Q: Let f(x) = log, (8x? 3x + 10). Find f' (x).

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.