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Popular >

extreme y= 1/x+x

Solution

extreme points

y = \frac{1}{x} + x

Solution

Maximum (- 1, - 2), Minimum (1, 2)

Solution steps

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

Find intervals:

Increasing

: - \infty < x < - 1,

Decreasing

: - 1 < x < 0,

Decreasing

: 0 < x < 1,

Increasing

: 1 < x < \infty

Plug

x = - 1

into

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

Maximum (- 1, - 2)

Plug

x = 1

into

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

Minimum (1, 2)

Maximum (- 1, - 2), Minimum (1, 2)

Popular Examples

intercepts of (x-9)^2-6 intercepts

(x - 9)^{2} - 6

slope of y=2x+10 slope

y = 2 x + 10

distance (1,2),(5,1)distance

(1, 2), (5, 1)

domain of f(x)=6-2x domain

f (x) = 6 - 2 x

domain of f(x)=(sqrt(x^2-x-2))/(ln(x))domain

f (x) = \frac{x ^{2} - x - 2}{ln ( x )}

Frequently Asked Questions (FAQ)

What is the extreme y= 1/x+x ?
The extreme y= 1/x+x is Maximum(-1,-2),Minimum(1,2)