EXAMPLE 2 Find The Local Minimum And Maximum Values Of The Function Below. F(X) = 3x4 – 24x3 – 162x2 + 5 Video Example I T SOLUTION F'(X) = 12x3 – 72x2 – 324x = 12x(X - 9)(X + 3) From The Chart Interval 12x X-9 X +3 F'(X) X9 Increasing On (9,0) We See That F'(X) Changes From

 

EXAMPLE 2 Find the local minimum and maximum values of the function below. f(x) = 3x4 - 24x- 162x + 5 Video Example SOLUTION f'(x)=12x-72x2-324x12x(x-9)(x+3) From the chart Interval X < -3 12x x 9 x + 3 f'(x) f - - decreasing on (-co, -3) - + + increasing on (-3, 0) + + x > 9 + + + + -3