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Popular >

extreme-8x^3+24x+3

Solution

extreme points

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

Solution

Minimum (- 1, - 13), Maximum (1, 19)

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 + 3 : - 13

Minimum (- 1, - 13)

Plug

x = 1

into

- 8 x^{3} + 24 x + 3 : 19

Maximum (1, 19)

Minimum (- 1, - 13), Maximum (1, 19)

Popular Examples

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

extreme x^2+2x+9y^2-6y+2018 extreme points

x^{2} + 2 x + 9 y^{2} - 6 y + 2018

extreme f(x,y)=(x^3)/3-3y^2-(x^2)/2+xy extreme points

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

extreme f(x)=(x-5)(x+1)(x+5)extreme points

f (x) = (x - 5) (x + 1) (x + 5)

Frequently Asked Questions (FAQ)

What is the extreme-8x^3+24x+3 ?
The extreme-8x^3+24x+3 is Minimum(-1,-13),Maximum(1,19)