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Popular >

extreme x^3-3/2 x^2

Solution

extreme points

x^{3} - \frac{3}{2} x^{2}

Solution

Maximum (0, 0), Minimum (1, - \frac{1}{2})

Solution steps

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

Find intervals:

Increasing

: - \infty < x < 0,

Decreasing

: 0 < x < 1,

Increasing

: 1 < x < \infty

Plug

x = 0

into

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

Maximum (0, 0)

Plug

x = 1

into

x^{3} - \frac{3}{2} x^{2} : - \frac{1}{2}

Minimum (1, - \frac{1}{2})

Maximum (0, 0), Minimum (1, - \frac{1}{2})

Popular Examples

asymptotes of (-10x^2+13x+3)/(3x^2+7x-6)asymptotes

\frac{- 10 x ^{2} + 13 x + 3}{3 x ^{2} + 7 x - 6}

domain of (x+4)/(x^2-9)domain

\frac{x + 4}{x ^{2} - 9}

intercepts of f(x)=3x+y=6 intercepts

f (x) = 3 x + y = 6

asymptotes of (3x+1)/(x-2)asymptotes

\frac{3 x + 1}{x - 2}

critical f(x)=5x^6-6x^5 critical points

f (x) = 5 x^{6} - 6 x^{5}

Frequently Asked Questions (FAQ)

What is the extreme x^3-3/2 x^2 ?
The extreme x^3-3/2 x^2 is Maximum(0,0),Minimum(1,-1/2)