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Popular >

extreme y=(x^3+2)/x

Solution

extreme points

y = \frac{x ^{3} + 2}{x}

Solution

Minimum (1, 3)

Solution steps

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

Find intervals:

Decreasing

: - \infty < x < 0,

Decreasing

: 0 < x < 1,

Increasing

: 1 < x < \infty

Plug

x = 1

into

\frac{x ^{3} + 2}{x} : 3

Minimum (1, 3)

Popular Examples

range of f(x)=log_{5}(x+16)range

f (x) = lo g_{5} (x + 16)

line (0,-7),(-10,-11)line

(0, - 7), (- 10, - 11)

inverse of f(x)=(-3)/3 x+2 inverse

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

inflection f(x)=3x^5-20x^3 inflection points

f (x) = 3 x^{5} - 20 x^{3}

intercepts of (-x)/(e^x)intercepts

\frac{- x}{e ^{x}}

Frequently Asked Questions (FAQ)

What is the extreme y=(x^3+2)/x ?
The extreme y=(x^3+2)/x is Minimum(1,3)