Help drawing the function $\frac{100}{1+20e^{-0.23t}}$

Question

Can somebody explain this one to me?

Draw the function $$p(t)=\frac{100}{1+20e^{-0.23t}}$$ for $t\in[-20,40]$.

it looks like P is described as a function of time, t is defined wierdly as t is normally time but it can apparently be negative, but beyond that, what ar eyou struggling to understand — Alex Robinson, Mar 29 '17 at 22:54

score 2 · Accepted Answer · answered Mar 29 '17 at 22:55

2

This is not a differential equation problem. The problem asks to draw the function

$$p(t) = \frac{100}{1 + 20e^{-0.23t}}$$

for $t \in [-20,40]$. You can use Wolfram to give you an hint for what you wanna find and use calculus tools. Find the first and second derivatives, find were it is zero, find how this function behaves in that range. Is it crescent? Is it decreasing?

answered Mar 29 '17 at 22:55

R.W

2,504

Which derivative tells you if it is crescent? – electronpusher Mar 29 '17 at 23:36

Help drawing the function $\frac{100}{1+20e^{-0.23t}}$

1 Answers1