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Popular >

extreme x+9/x

Solution

extreme points

x + \frac{9}{x}

Solution

Maximum (- 3, - 6), Minimum (3, 6)

Solution steps

f^{'} (x) = 1 - \frac{9}{x ^{2}}

Find intervals:

Increasing

: - \infty < x < - 3,

Decreasing

: - 3 < x < 0,

Decreasing

: 0 < x < 3,

Increasing

: 3 < x < \infty

Plug

x = - 3

into

x + \frac{9}{x} : - 6

Maximum (- 3, - 6)

Plug

x = 3

into

x + \frac{9}{x} : 6

Minimum (3, 6)

Maximum (- 3, - 6), Minimum (3, 6)

Popular Examples

slope of-3x+2y=-12 slope

- 3 x + 2 y = - 12

slope of-5x+9y=-18 slope

- 5 x + 9 y = - 18

inverse of f(x)=6x+3 inverse

f (x) = 6 x + 3

inflection f(x)=-x^4-3x^3+6x+1 inflection points

f (x) = - x^{4} - 3 x^{3} + 6 x + 1

critical f(x)=3x^4-8x^3+6x^2+2 critical points

f (x) = 3 x^{4} - 8 x^{3} + 6 x^{2} + 2

Frequently Asked Questions (FAQ)

What is the extreme x+9/x ?
The extreme x+9/x is Maximum(-3,-6),Minimum(3,6)