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) = 5 x^{4} - 4 x^{3}

f (x) = (x + 4)^{2} - 4

f (x) = - 4 x - 7

4 x - 3 y = 15

\frac{4}{x ^{2} + x - 2}

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