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Popular Functions >

extreme 4/x+x^4

Solution

extreme points

\frac{4}{x} + x^{4}

Solution

Minimum (1, 5)

Solution steps

Find the critical points:

x = 1

Domain of

\frac{4}{x} + x^{4} : x < 0 or x > 0

Find intervals:

Decreasing

: - \infty < x < 0,

Decreasing

: 0 < x < 1,

Increasing

: 1 < x < \infty

Plug the extreme point

x = 1

into

\frac{4}{x} + x^{4} \Rightarrow y = 5

Minimum (1, 5)

Graph

Popular Examples

extreme f(x,y)=9x^2-4y^2 extreme points

f (x, y) = 9 x^{2} - 4 y^{2}

extreme f(x)=120x-x^2-(950+14x)extreme points

f (x) = 120 x - x^{2} - (950 + 14 x)

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

f (x) = \frac{x ^{3}}{3} - 3 x^{2} + 8 x - 2

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

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

extreme f(x)=x^4+4/(3x^3)extreme points

f (x) = x^{4} + \frac{4}{3 x ^{3}}

Frequently Asked Questions (FAQ)

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