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Popular >

extreme 1+1/x-1/(x^2)

Solution

extreme points

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

Solution

Maximum (2, \frac{5}{4})

Solution steps

f^{'} (x) = \frac{2}{x ^{3}} - \frac{1}{x ^{2}}

Find intervals:

Decreasing

: - \infty < x < 0,

Increasing

: 0 < x < 2,

Decreasing

: 2 < x < \infty

Plug

x = 2

into

1 + \frac{1}{x} - \frac{1}{x ^{2}} : \frac{5}{4}

Maximum (2, \frac{5}{4})

Popular Examples

extreme x^2+4x+3 extreme points

x^{2} + 4 x + 3

extreme f(x,y)=-7y^2-3x^2+15y+9x extreme points

f (x, y) = - 7 y^{2} - 3 x^{2} + 15 y + 9 x

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

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

extreme f(x,y)=x^{10}-y^{10}-10x+10y-1 extreme points

f (x, y) = x^{10} - y^{10} - 10 x + 10 y - 1

extreme y=x^3-3x^2+4 extreme points

y = x^{3} - 3 x^{2} + 4

Frequently Asked Questions (FAQ)

What is the extreme 1+1/x-1/(x^2) ?
The extreme 1+1/x-1/(x^2) is Maximum(2, 5/4)