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Popular >

extreme f(x)= 7/(x^2+1)

Solution

extreme points

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

Solution

Maximum (0, 7)

Solution steps

f^{'} (x) = - \frac{14 x}{( x ^{2} + 1 ) ^{2}}

Find intervals:

Increasing

: - \infty < x < 0,

Decreasing

: 0 < x < \infty

Plug

x = 0

into

\frac{7}{x ^{2} + 1} : 7

Maximum (0, 7)

Popular Examples

domain of f(x)= 4/(x+4)domain

f (x) = \frac{4}{x + 4}

asymptotes of f(x)=(2x-6)/(-x+4)asymptotes

f (x) = \frac{2 x - 6}{- x + 4}

intercepts of f(x)=x^2+y=36 intercepts

f (x) = x^{2} + y = 36

domain of f(x)=sqrt(3-5x)domain

f (x) = 3 - 5 x

domain of f(x)=4x-10 domain

f (x) = 4 x - 10

Frequently Asked Questions (FAQ)

What is the extreme f(x)= 7/(x^2+1) ?
The extreme f(x)= 7/(x^2+1) is Maximum(0,7)