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Popular Functions >

extreme y=5x+(180)/x

Solution

extreme points

y = 5 x + \frac{180}{x}

Solution

Maximum (- 6, - 60), Minimum (6, 60)

Solution steps

f^{'} (x) = 5 - \frac{180}{x ^{2}}

Find intervals:

Increasing

: - \infty < x < - 6,

Decreasing

: - 6 < x < 0,

Decreasing

: 0 < x < 6,

Increasing

: 6 < x < \infty

Plug

x = - 6

into

5 x + \frac{180}{x} : - 60

Maximum (- 6, - 60)

Plug

x = 6

into

5 x + \frac{180}{x} : 60

Minimum (6, 60)

Maximum (- 6, - 60), Minimum (6, 60)

Graph

Popular Examples

extreme (-8x^3+5x^2-1)/(2x^2-9x)extreme points

\frac{- 8 x ^{3} + 5 x ^{2} - 1}{2 x ^{2} - 9 x}

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

extreme x^2-10x-9,2<= x<= 7 extreme points

x^{2} - 10 x - 9, 2 \leq x \leq 7

extreme 0.002x^2+4.4x-90 extreme points

0.002 x^{2} + 4.4 x - 90

Frequently Asked Questions (FAQ)

What is the extreme y=5x+(180)/x ?
The extreme y=5x+(180)/x is Maximum(-6,-60),Minimum(6,60)