Determine All the Values of X Where Relative Maximum and Minimum

question 89

Short Answer

Determine all the values of x where relative maximum and minimum points of the function $f ( x ) = \frac { 1 } { 3 } x ^ { 3 } - \frac { 3 } { 2 } x ^ { 2 } - 10 x$ occur. Distinguish the maxima from the minima using the second derivative rule. Enter your answer exactly as: f(a) rel max, f(b) rel min in that order.

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Definitions:

Lateral Epicondyle

A bony prominence on the outside (lateral side) of the humerus (upper arm bone) where tendons of the forearm muscles attach.

Flexors

Muscles that decrease the angle between bones at a joint, functioning to bend or flex a part of the body.

Opposition

The movement that involves bringing the thumb and finger together.

Thumb

The first digit located on the lateral side of the hand, important for gripping and manipulating objects.