What is the extreme f(x)=2x^3+18x^2+54x+50 ?

The extreme f(x)=2x^3+18x^2+54x+50 is Saddle(-3,-4)

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extreme f(x)=2x^3+18x^2+54x+50

extreme points

f (x) = 2 x^{3} + 18 x^{2} + 54 x + 50

Saddle (- 3, - 4)

Solution steps

f^{'} (x) = 6 x^{2} + 36 x + 54

Find intervals:

Increasing

: - \infty < x < - 3,

Increasing

: - 3 < x < \infty

Plug

x = - 3

into

2 x^{3} + 18 x^{2} + 54 x + 50 : - 4

Saddle (- 3, - 4)

What is the extreme f(x)=2x^3+18x^2+54x+50 ?
The extreme f(x)=2x^3+18x^2+54x+50 is Saddle(-3,-4)