What is the extreme xsqrt((x+1)) ?

The extreme xsqrt((x+1)) is Maximum(-1,0),Minimum(-2/3 ,-2/(3sqrt(3)))

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extreme xsqrt((x+1))

extreme points

x (x + 1)

Maximum (- 1, 0), Minimum (- \frac{2}{3}, - \frac{2}{3 3})

Solution steps

f^{'} (x) = \frac{3 x + 2}{2 x + 1}

Find intervals:

Decreasing

: - 1 < x < - \frac{2}{3},

Increasing

: - \frac{2}{3} < x < \infty

Plug

x = - 1

into

x x + 1 : 0

Maximum (- 1, 0)

Plug

x = - \frac{2}{3}

into

x x + 1 : - \frac{2}{3 3}

Minimum (- \frac{2}{3}, - \frac{2}{3 3})

Maximum (- 1, 0), Minimum (- \frac{2}{3}, - \frac{2}{3 3})

f (x) = x^{\frac{5}{3}}

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

y = 2 (x - 2)

y = - 18

f (x) = \frac{1}{4 x ^{2} + 8}

What is the extreme xsqrt((x+1)) ?
The extreme xsqrt((x+1)) is Maximum(-1,0),Minimum(-2/3 ,-2/(3sqrt(3)))