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Popular >

extreme (4x)/(x^2+4)

Solution

extreme points

\frac{4 x}{x ^{2} + 4}

Solution

Minimum (- 2, - 1), Maximum (2, 1)

Solution steps

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

Find intervals:

Decreasing

: - \infty < x < - 2,

Increasing

: - 2 < x < 2,

Decreasing

: 2 < x < \infty

Plug

x = - 2

into

\frac{4 x}{x ^{2} + 4} : - 1

Minimum (- 2, - 1)

Plug

x = 2

into

\frac{4 x}{x ^{2} + 4} : 1

Maximum (2, 1)

Minimum (- 2, - 1), Maximum (2, 1)

Graph

Popular Examples

extreme f(x)=-0.018x^3+0.215x^2+0.057x+1 extreme points

f (x) = - 0.018 x^{3} + 0.215 x^{2} + 0.057 x + 1

extreme f(x)=2x^3+9x^2-60x+7,-5<= x<= 5 extreme points

f (x) = 2 x^{3} + 9 x^{2} - 60 x + 7, - 5 \leq x \leq 5

extreme f(x)=x^3+4x^2+4x extreme points

f (x) = x^{3} + 4 x^{2} + 4 x

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

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

extreme y=(x-2)^3(x+2)extreme points

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

Frequently Asked Questions (FAQ)

What is the extreme (4x)/(x^2+4) ?
The extreme (4x)/(x^2+4) is Minimum(-2,-1),Maximum(2,1)