What is the extreme-x^3+6x^2+15x+4 ?

The extreme-x^3+6x^2+15x+4 is Minimum(-1,-4),Maximum(5,104)

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extreme-x^3+6x^2+15x+4

extreme points

- x^{3} + 6 x^{2} + 15 x + 4

Minimum (- 1, - 4), Maximum (5, 104)

Solution steps

f^{'} (x) = - 3 x^{2} + 12 x + 15

Find intervals:

Decreasing

: - \infty < x < - 1,

Increasing

: - 1 < x < 5,

Decreasing

: 5 < x < \infty

Plug

x = - 1

into

- x^{3} + 6 x^{2} + 15 x + 4 : - 4

Minimum (- 1, - 4)

Plug

x = 5

into

- x^{3} + 6 x^{2} + 15 x + 4 : 104

Maximum (5, 104)

Minimum (- 1, - 4), Maximum (5, 104)

f (x) = x^{2} - 5 x - 1

f (x) = x x + 8

f (x) = \frac{x + 2}{x ^{2} - 3 x - 10}

f (x) = (x^{2} - 2 x) e^{- x}

y = \frac{1}{3} x^{3} - 9 x^{2} + 72 x + 2

What is the extreme-x^3+6x^2+15x+4 ?
The extreme-x^3+6x^2+15x+4 is Minimum(-1,-4),Maximum(5,104)