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Popular >

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

Solution

extreme points

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

Solution

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

Solution steps

f^{'} (x) = 8 x - 2

Find intervals:

Decreasing

: - \infty < x < \frac{1}{4},

Increasing

: \frac{1}{4} < x < \infty

Plug

x = \frac{1}{4}

into

4 x^{2} - 2 x : - \frac{1}{4}

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

Popular Examples

extreme f(x)=(x^2-1)e^x extreme points

f (x) = (x^{2} - 1) e^{x}

extreme f(x)= 1/(x-1)extreme points

f (x) = \frac{1}{x - 1}

extreme f(x,y)= 1/3 x^3-3x^2+(y^2)/4+xy+13x-y+2 extreme points

f (x, y) = \frac{1}{3} x^{3} - 3 x^{2} + \frac{y ^{2}}{4} + x y + 13 x - y + 2

extreme (x^2)/(sqrt(x+1))extreme points

\frac{x ^{2}}{x + 1}

extreme x^{1/3}(x+3)^{2/3}extreme points

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

Frequently Asked Questions (FAQ)

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