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Popular >

extreme (x^5-5x)/5

Solution

extreme points

\frac{x ^{5} - 5 x}{5}

Solution

Maximum (- 1, \frac{4}{5}), Minimum (1, - \frac{4}{5})

Solution steps

f^{'} (x) = x^{4} - 1

Find intervals:

Increasing

: - \infty < x < - 1,

Decreasing

: - 1 < x < 1,

Increasing

: 1 < x < \infty

Plug

x = - 1

into

\frac{x ^{5} - 5 x}{5} : \frac{4}{5}

Maximum (- 1, \frac{4}{5})

Plug

x = 1

into

\frac{x ^{5} - 5 x}{5} : - \frac{4}{5}

Minimum (1, - \frac{4}{5})

Maximum (- 1, \frac{4}{5}), Minimum (1, - \frac{4}{5})

Popular Examples

extreme f(x)=12x-8 extreme points

f (x) = 12 x - 8

extreme (x^2+9)/(2x)extreme points

\frac{x ^{2} + 9}{2 x}

extreme f(x)=x^4-8x^2+16[-1.4]extreme points

f (x) = x^{4} - 8 x^{2} + 16 [- 1.4]

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

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

extreme x^3+3x^2-16 extreme points

x^{3} + 3 x^{2} - 16

Frequently Asked Questions (FAQ)

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