### Home > CALC3RD > Chapter Ch7 > Lesson 7.1.5 > Problem 7-50

Use the first and second derivatives to determine the following locations for .

Relative minima and maxima

Remember: Finding where

orDNE will identify CANDIDATES for minima and maxima.

You need to complete the 1st or 2nd Derivative Test to confirm which is which.Intervals over which

is increasing and decreasingWhen

is positive, thenhas positive slopes, which meansis increasing.Inflection points

Remember: Finding where

orDNE will identify CANDIDATES for inflection points.

You need to do further investigation to determine if it is (or is not) an inflection point.Either test for a sign change of

before and after the candidate point. Or evaluateat the candidate.

If, then it is a point of inflection.Intervals over which

is concave up and concave downWhen

is positive, thenhas positive slopes, which meansis concave up.