Find the relative maxima and relative minima

Question

Find the relative maxima and relative minima, and sketch the graph with a graphing calculator to check your results. (If an answer does not exist, enter DNE.)

y = 5x ln(x)

relative maximum	(x, y) =		DNE
relative minimum	(x, y) =

Answer 1

y = 5x ln(x)

Graphing it on the calculator shows that

x y

0 DNE because ln(0) DNE

1 0

2 6.93...

etc.

Relative Minimum is (0.3679, -1.8394)