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Popular >

extreme y= 4/x+x

Solution

extreme points

y = \frac{4}{x} + x

Solution

Maximum (- 2, - 4), Minimum (2, 4)

Solution steps

f^{'} (x) = - \frac{4}{x ^{2}} + 1

Find intervals:

Increasing

: - \infty < x < - 2,

Decreasing

: - 2 < x < 0,

Decreasing

: 0 < x < 2,

Increasing

: 2 < x < \infty

Plug

x = - 2

into

\frac{4}{x} + x : - 4

Maximum (- 2, - 4)

Plug

x = 2

into

\frac{4}{x} + x : 4

Minimum (2, 4)

Maximum (- 2, - 4), Minimum (2, 4)

Popular Examples

extreme x*sqrt(4-x^2)extreme points

x \cdot 4 - x^{2}

extreme f(x)=2x^2-15x^2+36x+10 extreme points

f (x) = 2 x^{2} - 15 x^{2} + 36 x + 10

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

\frac{x ^{3}}{x ^{2} - 3}

extreme f(x)=-7x^8+3x^2-4 extreme points

f (x) = - 7 x^{8} + 3 x^{2} - 4

extreme f(x)=5x-3x^2 extreme points

f (x) = 5 x - 3 x^{2}

Frequently Asked Questions (FAQ)

What is the extreme y= 4/x+x ?
The extreme y= 4/x+x is Maximum(-2,-4),Minimum(2,4)