CK12 Calculus - Single Variable

on and ; hencethe functionis increasingin these
intervals.

Similarly, on and thus is decreasingthere.

if wherethereis an inflectionpoint.

In addition,. Hencethe graphhas a relativemaximumat and located
at the point

We note that for. The graphis concavedownin.

And we have ; hencethe graphhas a relativeminimumat and located
at the point

We note that for The graphis concaveup in.
Table Summary

Analysis

Domainand Range

Interceptsand Zeros zerosat interceptat

Asymptotesand limitsat infinityno asymptotes

Differentiability differentiableat everypointof it’s domain

and

Intervalswheref is increasing

Intervalswheref is decreasing

relative maximum at and located at the point

;

Relativeextrema