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Popular >

extreme 4x^2-2x+11

Solution

extreme points

4 x^{2} - 2 x + 11

Solution

Minimum (\frac{1}{4}, \frac{43}{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 + 11 : \frac{43}{4}

Minimum (\frac{1}{4}, \frac{43}{4})

Popular Examples

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6 x y - x^{3} - 3 y^{2}

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

f (x, y) = 2 x^{2} + 3 y^{2} - 4 x y + 4 x - 2 y + 3

extreme f(x,y)=sqrt(400-4x^2-36y^2)extreme points

f (x, y) = 400 - 4 x^{2} - 36 y^{2}

extreme e^{x^3-3x}extreme points

e^{x^{3} - 3 x}

extreme y=3x^2-6x+5 extreme points

y = 3 x^{2} - 6 x + 5

Frequently Asked Questions (FAQ)

What is the extreme 4x^2-2x+11 ?
The extreme 4x^2-2x+11 is Minimum(1/4 , 43/4)