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Popular >

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

Solution

extreme points

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

Solution

Minimum (0, 0)

Solution steps

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

Find intervals:

Decreasing

: - \infty < x < 0,

Increasing

: 0 < x < \infty

Plug

x = 0

into

\frac{x ^{2}}{x ^{2} + 3} : 0

Minimum (0, 0)

Popular Examples

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f (x) = x^{2} + y^{2} + 6 x - 12 y - 9

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f (x, y) = - x^{2} + 2 x y - 7 y^{2} + 2 x + 10 y + 8

extreme f(x)=2xe^x-4x^3 extreme points

f (x) = 2 x e^{x} - 4 x^{3}

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f (x) = (x^{2} e^{3 x})

Frequently Asked Questions (FAQ)

What is the extreme f(x)=(x^2)/((x^2+3)) ?
The extreme f(x)=(x^2)/((x^2+3)) is Minimum(0,0)