What is the extreme 2x^3+15x^2+13 ?

The extreme 2x^3+15x^2+13 is Maximum(-5,138),Minimum(0,13)

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extreme 2x^3+15x^2+13

extreme points

2 x^{3} + 15 x^{2} + 13

Maximum (- 5, 138), Minimum (0, 13)

Solution steps

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

Find intervals:

Increasing

: - \infty < x < - 5,

Decreasing

: - 5 < x < 0,

Increasing

: 0 < x < \infty

Plug

x = - 5

into

2 x^{3} + 15 x^{2} + 13 : 138

Maximum (- 5, 138)

Plug

x = 0

into

2 x^{3} + 15 x^{2} + 13 : 13

Minimum (0, 13)

Maximum (- 5, 138), Minimum (0, 13)

What is the extreme 2x^3+15x^2+13 ?
The extreme 2x^3+15x^2+13 is Maximum(-5,138),Minimum(0,13)