Show that the function is increasing and decreasing on the given open intervals. (Enter your answers as a comma-separated list if necessary.)

y=x⁶+6;

decreasing on

(, 0);

increasing on

(0,)

We have

y'(x) =

.

y'(x) = 0

when

x=

.

Therefore, the critical numbers are

x=

0

.

Finally, since

y'(1) =

and

y'(1) =

,

we have thatyis decreasing on

(, 0)

and increasing on

(0,).