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Popular >

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

Solution

extreme points

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

Solution

Maximum (0, 0), Minimum (\frac{2}{3}, - \frac{4}{27})

Solution steps

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

Find intervals:

Increasing

: - \infty < x < 0,

Decreasing

: 0 < x < \frac{2}{3},

Increasing

: \frac{2}{3} < x < \infty

Plug

x = 0

into

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

Maximum (0, 0)

Plug

x = \frac{2}{3}

into

x^{3} - x^{2} : - \frac{4}{27}

Minimum (\frac{2}{3}, - \frac{4}{27})

Maximum (0, 0), Minimum (\frac{2}{3}, - \frac{4}{27})

Popular Examples

inverse of y= 1/(3x-2)inverse

y = \frac{1}{3 x - 2}

domain of f(n)= n/((8-4n))domain

f (n) = \frac{n}{( 8 - 4 n )}

parity f(x)=x^5+5x parity

f (x) = x^{5} + 5 x

inverse of f(x)=x^4-9 inverse

f (x) = x^{4} - 9

domain of 3x+1 domain

3 x + 1

Frequently Asked Questions (FAQ)

What is the extreme f(x)=x^3-x^2 ?
The extreme f(x)=x^3-x^2 is Maximum(0,0),Minimum(2/3 ,-4/27)