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Popular >

extreme-x^3+3x^2

Solution

extreme points

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

Solution

Minimum (0, 0), Maximum (2, 4)

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} : 0

Minimum (0, 0)

Plug

x = 2

into

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

Maximum (2, 4)

Minimum (0, 0), Maximum (2, 4)

Popular Examples

derivative of In\sqrt[5]{x}

extreme e^{x^2-7x-1}extreme points

e^{x^{2} - 7 x - 1}

extreme f(x,y)=5-2x+4y-x^2-4y^2 extreme points

f (x, y) = 5 - 2 x + 4 y - x^{2} - 4 y^{2}

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

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

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

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

Frequently Asked Questions (FAQ)

What is the extreme-x^3+3x^2 ?
The extreme-x^3+3x^2 is Minimum(0,0),Maximum(2,4)