Hello there ,

here is my question :

Let f(x) = x/e^x

a)Find the critical values.

b)Find the intervals of increasing / decreasing and classify the extrema.

c)Find the intervals of concave up / down and any inflection points.

lim as x approaches infinity F(x)=0

lim as x approaches negative infinity F(x)= negative infinity

Plot the c.v. and inflection pts. And use the given end behavior to neatly sketch the graph of f(x) according to your answers in (b).(c)