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Popular >

extreme f(x)=x^2-(54)/x

Solution

extreme points

f (x) = x^{2} - \frac{54}{x}

Solution

Minimum (- 3, 27)

Solution steps

f^{'} (x) = 2 x + \frac{54}{x ^{2}}

Find intervals:

Decreasing

: - \infty < x < - 3,

Increasing

: - 3 < x < 0,

Increasing

: 0 < x < \infty

Plug

x = - 3

into

x^{2} - \frac{54}{x} : 27

Minimum (- 3, 27)

Popular Examples

extreme y= 1/9 [(t^3)/3+(3t^2)/2-28t]extreme points

y = \frac{1}{9} [\frac{t ^{3}}{3} + \frac{3 t ^{2}}{2} - 28 t]

extreme 2x^3+3x^2-36x+3,-3<= x<= 6 extreme points

2 x^{3} + 3 x^{2} - 36 x + 3, - 3 \leq x \leq 6

extreme x^2+6x+3 extreme points

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

extreme (2x+8)/(x^2+8)extreme points

\frac{2 x + 8}{x ^{2} + 8}

Frequently Asked Questions (FAQ)

What is the extreme f(x)=x^2-(54)/x ?
The extreme f(x)=x^2-(54)/x is Minimum(-3,27)