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Popular Functions >

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

Solution

extreme

Solution

Maximum (0, \frac{2}{3})

Solution steps

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

Find intervals:

Increasing

: - \infty < x < 0,

Decreasing

: 0 < x < \infty

Plug

x = 0

into

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

Maximum (0, \frac{2}{3})

Graph

Popular Examples

extreme f(x)=x^2(x^2-1)

extreme f(x,y)=x^2+2y^2+xy-5x-6y

extreme f(x)=(x^2-5)/(x+3)

extreme f(x)= x/(sqrt(x-4)),6<= x<= 10

extreme f(x)=(x-1)^2+(y-2)^2

Frequently Asked Questions (FAQ)

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