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Popular >

extreme f(x)=x^3-3x^2

Solution

extreme points

f (x) = x^{3} - 3 x^{2}

Solution

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

Solution steps

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

Find intervals:

Increasing

: - \infty < x < 0,

Decreasing

: 0 < x < 2,

Increasing

: 2 < x < \infty

Plug

x = 0

into

x^{3} - 3 x^{2} : 0

Maximum (0, 0)

Plug

x = 2

into

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

Minimum (2, - 4)

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

Popular Examples

inverse of f(x)= 1/2 x^3+2 inverse

f (x) = \frac{1}{2} x^{3} + 2

shift-2sin(-4x+pi/2)shift

- 2 sin (- 4 x + \frac{π}{2})

inverse of f(x)=7(x-1)^3 inverse

f (x) = 7 (x - 1)^{3}

inverse of f(x)=-1+(x+2)^3 inverse

f (x) = - 1 + (x + 2)^{3}

domain of f(x)=(x-3)/(9x-x^3)domain

f (x) = \frac{x - 3}{9 x - x ^{3}}

Frequently Asked Questions (FAQ)

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