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Popular >

extreme x^{1/3}(x+4)

Solution

extreme points

x^{\frac{1}{3}} (x + 4)

Solution

Minimum (- 1, - 3)

Solution steps

f^{'} (x) = \frac{4 ( x + 1 )}{3 x ^{\frac{2}{3}}}

Find intervals:

Decreasing

: - \infty < x < - 1,

Increasing

: - 1 < x < 0,

Increasing

: 0 < x < \infty

Plug

x = - 1

into

x^{\frac{1}{3}} (x + 4) : - 3

Minimum (- 1, - 3)

Popular Examples

extreme f(x,y)=xy(7+x)(y-3)extreme points

f (x, y) = x y (7 + x) (y - 3)

extreme f(x)= 1/(x-5)extreme points

f (x) = \frac{1}{x - 5}

extreme (x-9)^2-2 extreme points

(x - 9)^{2} - 2

extreme f(x)=-(15)/(x^2-19x+16)extreme points

f (x) = - \frac{15}{x ^{2} - 19 x + 16}

extreme f(x)=x+9/x ,0.2<= x<= 12 extreme points

f (x) = x + \frac{9}{x}, 0.2 \leq x \leq 12

Frequently Asked Questions (FAQ)

What is the extreme x^{1/3}(x+4) ?
The extreme x^{1/3}(x+4) is Minimum(-1,-3)