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Popular >

extreme f(x)=x^5-5x

Solution

extreme points

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

Solution

Maximum (- 1, 4), Minimum (1, - 4)

Solution steps

f^{'} (x) = 5 x^{4} - 5

Find intervals:

Increasing

: - \infty < x < - 1,

Decreasing

: - 1 < x < 1,

Increasing

: 1 < x < \infty

Plug

x = - 1

into

x^{5} - 5 x : 4

Maximum (- 1, 4)

Plug

x = 1

into

x^{5} - 5 x : - 4

Minimum (1, - 4)

Maximum (- 1, 4), Minimum (1, - 4)

Popular Examples

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

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

extreme f(x)=-3x^{5/3}-15x^{2/3}extreme points

f (x) = - 3 x^{\frac{5}{3}} - 15 x^{\frac{2}{3}}

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

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

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

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

extreme f(x)=x^2-y^2 extreme points

f (x) = x^{2} - y^{2}

Frequently Asked Questions (FAQ)

What is the extreme f(x)=x^5-5x ?
The extreme f(x)=x^5-5x is Maximum(-1,4),Minimum(1,-4)