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Popular >

extreme x^3+3x^2-24x

Solution

extreme points

x^{3} + 3 x^{2} - 24 x

Solution

Maximum (- 4, 80), Minimum (2, - 28)

Solution steps

f^{'} (x) = 3 x^{2} + 6 x - 24

Find intervals:

Increasing

: - \infty < x < - 4,

Decreasing

: - 4 < x < 2,

Increasing

: 2 < x < \infty

Plug

x = - 4

into

x^{3} + 3 x^{2} - 24 x : 80

Maximum (- 4, 80)

Plug

x = 2

into

x^{3} + 3 x^{2} - 24 x : - 28

Minimum (2, - 28)

Maximum (- 4, 80), Minimum (2, - 28)

Graph

Popular Examples

extreme-x^3+4xy-2y^2+1 extreme points

- x^{3} + 4 x y - 2 y^{2} + 1

extreme f(x,y)=x^2+2y^2-xy+14y extreme points

f (x, y) = x^{2} + 2 y^{2} - x y + 14 y

extreme f(x)=-x^{2/3}(x-2),-2<= x<= 2 extreme points

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

extreme f(x)=-x^3+12x,(-6,5)extreme points

f (x) = - x^{3} + 12 x, (- 6, 5)

extreme f(x,y)=6-x^4+2x^2-y^2 extreme points

f (x, y) = 6 - x^{4} + 2 x^{2} - y^{2}

Frequently Asked Questions (FAQ)

What is the extreme x^3+3x^2-24x ?
The extreme x^3+3x^2-24x is Maximum(-4,80),Minimum(2,-28)