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Popular >

extreme (3x^2)/(x+5)

Solution

extreme points

\frac{3 x ^{2}}{x + 5}

Solution

Maximum (- 10, - 60), Minimum (0, 0)

Solution steps

f^{'} (x) = \frac{3 ( x ^{2} + 10 x )}{( x + 5 ) ^{2}}

Find intervals:

Increasing

: - \infty < x < - 10,

Decreasing

: - 10 < x < - 5,

Decreasing

: - 5 < x < 0,

Increasing

: 0 < x < \infty

Plug

x = - 10

into

\frac{3 x ^{2}}{x + 5} : - 60

Maximum (- 10, - 60)

Plug

x = 0

into

\frac{3 x ^{2}}{x + 5} : 0

Minimum (0, 0)

Maximum (- 10, - 60), Minimum (0, 0)

Popular Examples

extreme f(x)= 2/3 x-5,-2<= x<= 3 extreme points

f (x) = \frac{2}{3} x - 5, - 2 \leq x \leq 3

extreme \sqrt[3]{x^2}*(x-2)^2 extreme points

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

extreme f(x,y)=12-x^2-y^2 extreme points

f (x, y) = 12 - x^{2} - y^{2}

extreme f(x,y)=x+y+xy extreme points

f (x, y) = x + y + x y

Frequently Asked Questions (FAQ)

What is the extreme (3x^2)/(x+5) ?
The extreme (3x^2)/(x+5) is Maximum(-10,-60),Minimum(0,0)