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Popular Functions >

extreme f(x)=3x^2-4x

Solution

extreme

Solution

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

Solution steps

f^{'} (x) = 6 x - 4

Find intervals:

Decreasing

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

Increasing

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

Plug

x = \frac{2}{3}

into

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

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

Graph

Popular Examples

extreme f(x,y)=sqrt(x^2+y^2+16)

extreme f(x,y)=9-2*x+4*y-x^2-4*y^2

extreme sqrt(x)ln(4x)

extreme f(x)=2x^2+7x

extreme f(x)=(x^2+3x+9),-2<= x<= 1

Frequently Asked Questions (FAQ)

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