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Popular >

extreme (x^2)/(sqrt(x+1))

Solution

extreme points

\frac{x ^{2}}{x + 1}

Solution

Minimum (0, 0)

Solution steps

f^{'} (x) = \frac{3 x ^{2} + 4 x}{2 ( x + 1 ) x + 1}

Find intervals:

Decreasing

: - 1 < x < 0,

Increasing

: 0 < x < \infty

Plug

x = 0

into

\frac{x ^{2}}{x + 1} : 0

Minimum (0, 0)

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extreme f(x)=x(17-45+2x)(45/2-x)extreme points

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extreme f(x)=-x^3+12x^2+45x-52 extreme points

f (x) = - x^{3} + 12 x^{2} + 45 x - 52

Frequently Asked Questions (FAQ)

What is the extreme (x^2)/(sqrt(x+1)) ?
The extreme (x^2)/(sqrt(x+1)) is Minimum(0,0)