What is the extreme 5x+(100)/x ?

The extreme 5x+(100)/x is Maximum(-2sqrt(5),-20sqrt(5)),Minimum(2sqrt(5),20sqrt(5))

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extreme 5x+(100)/x

extreme points

5 x + \frac{100}{x}

Maximum (- 25, - 205), Minimum (25, 205)

Solution steps

f^{'} (x) = 5 - \frac{100}{x ^{2}}

Find intervals:

Increasing

: - \infty < x < - 25,

Decreasing

: - 25 < x < 0,

Decreasing

: 0 < x < 25,

Increasing

: 25 < x < \infty

Plug

x = - 25

into

5 x + \frac{100}{x} : - 205

Maximum (- 25, - 205)

Plug

x = 25

into

5 x + \frac{100}{x} : 205

Minimum (25, 205)

Maximum (- 25, - 205), Minimum (25, 205)

f (x) = 3 x^{3} - 9 x^{2} - 315 x + 7

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

f (x) = 250 (0.9)^{x}, 0 \leq x \leq 6

y ln (x) + x y^{2}

2 x^{3} - 9 x^{2} + 12 x - 8

What is the extreme 5x+(100)/x ?
The extreme 5x+(100)/x is Maximum(-2sqrt(5),-20sqrt(5)),Minimum(2sqrt(5),20sqrt(5))