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Popular >

extreme f(x)=2x^2-4x-1

Solution

extreme points

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

Solution

Minimum (1, - 3)

Solution steps

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

Find intervals:

Decreasing

: - \infty < x < 1,

Increasing

: 1 < x < \infty

Plug

x = 1

into

2 x^{2} - 4 x - 1 : - 3

Minimum (1, - 3)

Popular Examples

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f (x) = 3 x^{4} + 16 x^{3} + 24 x^{2} + 32

extreme (x^2)/(x^2+3)extreme points

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extreme f(x)=88-1/2 x-(3200)/x extreme points

f (x) = 88 - \frac{1}{2} x - \frac{3200}{x}

extreme f(x)=-2x^2-24x-71 extreme points

f (x) = - 2 x^{2} - 24 x - 71

extreme e^{-x^2}extreme points

e^{- x^{2}}

Frequently Asked Questions (FAQ)

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