What is the extreme 0.5x+15+(5000)/x ?

The extreme 0.5x+15+(5000)/x is Maximum(-100,-85),Minimum(100,115)

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extreme 0.5x+15+(5000)/x

extreme points

0.5 x + 15 + \frac{5000}{x}

Maximum (- 100, - 85), Minimum (100, 115)

Solution steps

Find the critical points:

x = - 100, x = 100

Domain of

0.5 x + 15 + \frac{5000}{x} : x < 0 or x > 0

Find intervals:

Increasing

: - \infty < x < - 100,

Decreasing

: - 100 < x < 0,

Decreasing

: 0 < x < 100,

Increasing

: 100 < x < \infty

Plug the extreme point

x = - 100

into

0.5 x + 15 + \frac{5000}{x} \Rightarrow y = - 85

Maximum (- 100, - 85)

Plug the extreme point

x = 100

into

0.5 x + 15 + \frac{5000}{x} \Rightarrow y = 115

Minimum (100, 115)

Maximum (- 100, - 85), Minimum (100, 115)

f (x) = 5 x^{3} - 6

f (x) = x^{2} + \frac{10}{x}

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

y = \frac{x \cdot ( 1 + x ) \cdot ( 1 - x )}{1 + 2 x}

f (x) = \frac{( x ^{2} )}{x ^{2} - 81}

What is the extreme 0.5x+15+(5000)/x ?
The extreme 0.5x+15+(5000)/x is Maximum(-100,-85),Minimum(100,115)