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Popular >

extreme x^3+6x^2

Solution

extreme points

x^{3} + 6 x^{2}

Solution

Maximum (- 4, 32), Minimum (0, 0)

Solution steps

f^{'} (x) = 3 x^{2} + 12 x

Find intervals:

Increasing

: - \infty < x < - 4,

Decreasing

: - 4 < x < 0,

Increasing

: 0 < x < \infty

Plug

x = - 4

into

x^{3} + 6 x^{2} : 32

Maximum (- 4, 32)

Plug

x = 0

into

x^{3} + 6 x^{2} : 0

Minimum (0, 0)

Maximum (- 4, 32), Minimum (0, 0)

Popular Examples

range of f(x)=6+sqrt(-x)range

f (x) = 6 + - x

asymptotes of f(x)=(-3x)/(x-2)asymptotes

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

inverse of x^{1/2}inverse

x^{\frac{1}{2}}

inverse of f(x)=\sqrt[5]{4x+2}inverse

inverse of f(x)=x^2-12x inverse

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

Frequently Asked Questions (FAQ)

What is the extreme x^3+6x^2 ?
The extreme x^3+6x^2 is Maximum(-4,32),Minimum(0,0)