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Popular >

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

Solution

extreme points

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

Solution

Minimum (\frac{1}{2}, - \frac{3}{4})

Solution steps

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

Find intervals:

Decreasing

: - \infty < x < \frac{1}{2},

Increasing

: \frac{1}{2} < x < \infty

Plug

x = \frac{1}{2}

into

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

Minimum (\frac{1}{2}, - \frac{3}{4})

Popular Examples

asymptotes of f(x)=(4x^2-4)/(x+1)asymptotes

f (x) = \frac{4 x ^{2} - 4}{x + 1}

extreme f(x)=6x^4-36x^2 extreme points

f (x) = 6 x^{4} - 36 x^{2}

parity f(x)=(x(cos(4x)-x^3))/(sin(2x)-3)parity

f (x) = \frac{x ( cos ( 4 x ) - x ^{3} )}{sin ( 2 x ) - 3}

intercepts of y=5x-13 intercepts

y = 5 x - 13

asymptotes of sqrt(1+x^2)asymptotes

1 + x^{2}

Frequently Asked Questions (FAQ)

What is the extreme f(x)=3x^2-3x ?
The extreme f(x)=3x^2-3x is Minimum(1/2 ,-3/4)