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Popular >

extreme x^4-8x^3

Solution

extreme points

x^{4} - 8 x^{3}

Solution

Saddle (0, 0), Minimum (6, - 432)

Solution steps

f^{'} (x) = 4 x^{3} - 24 x^{2}

Find intervals:

Decreasing

: - \infty < x < 0,

Decreasing

: 0 < x < 6,

Increasing

: 6 < x < \infty

Plug

x = 0

into

x^{4} - 8 x^{3} : 0

Saddle (0, 0)

Plug

x = 6

into

x^{4} - 8 x^{3} : - 432

Minimum (6, - 432)

Saddle (0, 0), Minimum (6, - 432)

Popular Examples

domain of f(x)=x^4+6 domain

f (x) = x^{4} + 6

domain of 2/((2/x))domain

\frac{2}{( \frac{2}{x} )}

domain of f(x)=(x-2)/(x^3-49x)domain

f (x) = \frac{x - 2}{x ^{3} - 49 x}

parallel-x-2y=4,(2,3)parallel

- x - 2 y = 4, (2, 3)

inverse of f(x)=(e^x)/(1+6e^x)inverse

f (x) = \frac{e ^{x}}{1 + 6 e ^{x}}

Frequently Asked Questions (FAQ)

What is the extreme x^4-8x^3 ?
The extreme x^4-8x^3 is Saddle(0,0),Minimum(6,-432)