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Popular >

extreme f(x)= 3/(9-x^2)

Solution

extreme points

f (x) = \frac{3}{9 - x ^{2}}

Solution

Minimum (0, \frac{1}{3})

Solution steps

f^{'} (x) = \frac{6 x}{( 9 - x ^{2} ) ^{2}}

Find intervals:

Decreasing

: - \infty < x < - 3,

Decreasing

: - 3 < x < 0,

Increasing

: 0 < x < 3,

Increasing

: 3 < x < \infty

Plug

x = 0

into

\frac{3}{9 - x ^{2}} : \frac{1}{3}

Minimum (0, \frac{1}{3})

Popular Examples

domain of f(x)=2sqrt(x)+3 domain

f (x) = 2 x + 3

parity f(x)=-x^2+3x-2 parity

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

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f (x) = - \frac{1}{2 7 - x}

domain of (x^2-5x-6)/(x+1)domain

\frac{x ^{2} - 5 x - 6}{x + 1}

critical f(x)= 1/2 x^2+4x+1 critical points

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

Frequently Asked Questions (FAQ)

What is the extreme f(x)= 3/(9-x^2) ?
The extreme f(x)= 3/(9-x^2) is Minimum(0, 1/3)