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Popular >

extreme-8x^3+24x+9

Solution

extreme points

- 8 x^{3} + 24 x + 9

Solution

Minimum (- 1, - 7), Maximum (1, 25)

Solution steps

f^{'} (x) = - 24 x^{2} + 24

Find intervals:

Decreasing

: - \infty < x < - 1,

Increasing

: - 1 < x < 1,

Decreasing

: 1 < x < \infty

Plug

x = - 1

into

- 8 x^{3} + 24 x + 9 : - 7

Minimum (- 1, - 7)

Plug

x = 1

into

- 8 x^{3} + 24 x + 9 : 25

Maximum (1, 25)

Minimum (- 1, - 7), Maximum (1, 25)

Popular Examples

extreme f(x)=x^3-3x^2-45x+25 extreme points

f (x) = x^{3} - 3 x^{2} - 45 x + 25

extreme f(x)=x^3-3x^2-45x+22 extreme points

f (x) = x^{3} - 3 x^{2} - 45 x + 22

extreme-8x^3+24x+3 extreme points

- 8 x^{3} + 24 x + 3

extreme f(x)=2x^4-36x^2-1,-4<= x<= 4 extreme points

f (x) = 2 x^{4} - 36 x^{2} - 1, - 4 \leq x \leq 4

extreme (x-3)(x-11)^3+7,7<= x<= 13 extreme points

(x - 3) (x - 11)^{3} + 7, 7 \leq x \leq 13

Frequently Asked Questions (FAQ)

What is the extreme-8x^3+24x+9 ?
The extreme-8x^3+24x+9 is Minimum(-1,-7),Maximum(1,25)