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Popular >

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

Solution

extreme points

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

Solution

Minimum (0, - 2), Maximum (2, 2)

Solution steps

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

Find intervals:

Decreasing

: - \infty < x < 0,

Increasing

: 0 < x < 2,

Decreasing

: 2 < x < \infty

Plug

x = 0

into

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

Minimum (0, - 2)

Plug

x = 2

into

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

Maximum (2, 2)

Minimum (0, - 2), Maximum (2, 2)

Popular Examples

extreme f(x,y)=8x^3-24xy+y^3 extreme points

f (x, y) = 8 x^{3} - 24 x y + y^{3}

extreme f(x)=e^{x^2}extreme points

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

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

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

extreme f(x)=x^3-12x^2+45x+8 extreme points

f (x) = x^{3} - 12 x^{2} + 45 x + 8

extreme f(x)= x/(x^2-x+4)extreme points

f (x) = \frac{x}{x ^{2} - x + 4}

Frequently Asked Questions (FAQ)

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