What is the extreme 2x^3+18x^2+30x+2 ?

The extreme 2x^3+18x^2+30x+2 is Maximum(-5,52),Minimum(-1,-12)

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extreme 2x^3+18x^2+30x+2

extreme points

2 x^{3} + 18 x^{2} + 30 x + 2

Maximum (- 5, 52), Minimum (- 1, - 12)

Solution steps

f^{'} (x) = 6 x^{2} + 36 x + 30

Find intervals:

Increasing

: - \infty < x < - 5,

Decreasing

: - 5 < x < - 1,

Increasing

: - 1 < x < \infty

Plug

x = - 5

into

2 x^{3} + 18 x^{2} + 30 x + 2 : 52

Maximum (- 5, 52)

Plug

x = - 1

into

2 x^{3} + 18 x^{2} + 30 x + 2 : - 12

Minimum (- 1, - 12)

Maximum (- 5, 52), Minimum (- 1, - 12)

What is the extreme 2x^3+18x^2+30x+2 ?
The extreme 2x^3+18x^2+30x+2 is Maximum(-5,52),Minimum(-1,-12)