What is the extreme 2x^2-6x+(20)/x+30 ?

The extreme 2x^2-6x+(20)/x+30 is Minimum(2.38155…,35.45215…)

Popular >

extreme 2x^2-6x+(20)/x+30

extreme points

2 x^{2} - 6 x + \frac{20}{x} + 30

Minimum (2.38155 \dots, 35.45215 \dots)

Solution steps

Find the critical points:

x \approx 2.38155 \dots

Domain of

2 x^{2} - 6 x + \frac{20}{x} + 30 : x < 0 or x > 0

Find intervals:

Decreasing

: - \infty < x < 0,

Decreasing

: 0 < x < 2.38155 \dots,

Increasing

: 2.38155 \dots < x < \infty

Plug the extreme point

x = 2.38155 \dots

into

2 x^{2} - 6 x + \frac{20}{x} + 30 \Rightarrow y = 35.45215 \dots

Minimum (2.38155 \dots, 35.45215 \dots)

f (x) = x^{2} - 8 x, - \infty < x \leq 8

5 x + 5 sin (x), 0 \leq x \leq 2 π

f (x) = 106 x - x^{2} - 950

f (x) = \frac{- 3 x}{x ^{2} + 6}

f (x) = \frac{1}{x ^{2} - 4 x - 21}

What is the extreme 2x^2-6x+(20)/x+30 ?
The extreme 2x^2-6x+(20)/x+30 is Minimum(2.38155…,35.45215…)