What is the extreme 1/3 x^3-12x^2+144x+2 ?

The extreme 1/3 x^3-12x^2+144x+2 is Saddle(12,578)

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extreme 1/3 x^3-12x^2+144x+2

extreme points

\frac{1}{3} x^{3} - 12 x^{2} + 144 x + 2

Saddle (12, 578)

Solution steps

f^{'} (x) = x^{2} - 24 x + 144

Find intervals:

Increasing

: - \infty < x < 12,

Increasing

: 12 < x < \infty

Plug

x = 12

into

\frac{1}{3} x^{3} - 12 x^{2} + 144 x + 2 : 578

Saddle (12, 578)

f (x) = 4 (1 + \frac{1}{x} + \frac{1}{x ^{2}})

f (x) = - e^{x} (x + 5)

f (x) = - 14 x^{3} + 42 x + 42

f (x) = 15 x - x^{2} - 54

x^{2} + 2 x - x

What is the extreme 1/3 x^3-12x^2+144x+2 ?
The extreme 1/3 x^3-12x^2+144x+2 is Saddle(12,578)