What is the extreme 2x^3+6x^2-18x+5 ?

The extreme 2x^3+6x^2-18x+5 is Maximum(-3,59),Minimum(1,-5)

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extreme 2x^3+6x^2-18x+5

extreme points

2 x^{3} + 6 x^{2} - 18 x + 5

Maximum (- 3, 59), Minimum (1, - 5)

Solution steps

f^{'} (x) = 6 x^{2} + 12 x - 18

Find intervals:

Increasing

: - \infty < x < - 3,

Decreasing

: - 3 < x < 1,

Increasing

: 1 < x < \infty

Plug

x = - 3

into

2 x^{3} + 6 x^{2} - 18 x + 5 : 59

Maximum (- 3, 59)

Plug

x = 1

into

2 x^{3} + 6 x^{2} - 18 x + 5 : - 5

Minimum (1, - 5)

Maximum (- 3, 59), Minimum (1, - 5)

What is the extreme 2x^3+6x^2-18x+5 ?
The extreme 2x^3+6x^2-18x+5 is Maximum(-3,59),Minimum(1,-5)