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Popular >

extreme y=x(x+4)^3

Solution

extreme points

y = x (x + 4)^{3}

Solution

Saddle (- 4, 0), Minimum (- 1, - 27)

Solution steps

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

Find intervals:

Decreasing

: - \infty < x < - 4,

Decreasing

: - 4 < x < - 1,

Increasing

: - 1 < x < \infty

Plug

x = - 4

into

x (x + 4)^{3} : 0

Saddle (- 4, 0)

Plug

x = - 1

into

x (x + 4)^{3} : - 27

Minimum (- 1, - 27)

Saddle (- 4, 0), Minimum (- 1, - 27)

Popular Examples

extreme f(x)=(4x)/(x^2-49)extreme points

f (x) = \frac{4 x}{x ^{2} - 49}

extreme f(x)=x^3-6x^2+8,-1<= x<= 6 extreme points

f (x) = x^{3} - 6 x^{2} + 8, - 1 \leq x \leq 6

extreme f(x,y)=x^2-xy+y^2+5 extreme points

f (x, y) = x^{2} - x y + y^{2} + 5

extreme f(x,y)=x^2-xy+y^2+6 extreme points

f (x, y) = x^{2} - x y + y^{2} + 6

extreme (x^2-2x-3)/(x^2)extreme points

\frac{x ^{2} - 2 x - 3}{x ^{2}}

Frequently Asked Questions (FAQ)

What is the extreme y=x(x+4)^3 ?
The extreme y=x(x+4)^3 is Saddle(-4,0),Minimum(-1,-27)