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Popular >

extreme (x^2+1)/x

Solution

extreme points

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

Solution

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

Solution steps

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

Find intervals:

Increasing

: - \infty < x < - 1,

Decreasing

: - 1 < x < 0,

Decreasing

: 0 < x < 1,

Increasing

: 1 < x < \infty

Plug

x = - 1

into

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

Maximum (- 1, - 2)

Plug

x = 1

into

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

Minimum (1, 2)

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

Popular Examples

inflection f(x)=x^2+3x-6 inflection points

f (x) = x^{2} + 3 x - 6

simplify (4.2)(-3.1)simplify

(4.2) (- 3.1)

periodicity of f(x)=tan(x)periodicity

f (x) = tan (x)

intercepts of f(x)=x^2-4x+5 intercepts

f (x) = x^{2} - 4 x + 5

inverse of f(x)=x-1.75 inverse

f (x) = x - 1.75

Frequently Asked Questions (FAQ)

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