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Popular >

monotone f(x)=-x^4-4x^3+8x-1

Solution

monotone intervals

f (x) = - x^{4} - 4 x^{3} + 8 x - 1

Solution

Increasing : - \infty < x < - 1 - 3, Decreasing : - 1 - 3 < x < - 1, Increasing : - 1 < x < - 1 + 3, Decreasing : - 1 + 3 < x < \infty

Solution steps

f^{'} (x) = - 4 x^{3} - 12 x^{2} + 8

Find intervals:

Increasing

: - \infty < x < - 1 - 3,

Decreasing

: - 1 - 3 < x < - 1,

Increasing

: - 1 < x < - 1 + 3,

Decreasing

: - 1 + 3 < x < \infty

Increasing : - \infty < x < - 1 - 3, Decreasing : - 1 - 3 < x < - 1, Increasing : - 1 < x < - 1 + 3, Decreasing : - 1 + 3 < x < \infty

Popular Examples

domain of f(x)=15-x domain

f (x) = 15 - x

asymptotes of f(x)= 3/(x+5)asymptotes

f (x) = \frac{3}{x + 5}

slope ofintercept-7y=8x-3 slope intercept

- 7 y = 8 x - 3

domain of f(x)=(3x)/(x+5)domain

f (x) = \frac{3 x}{x + 5}

inverse of x/(x+9)inverse

\frac{x}{x + 9}

Frequently Asked Questions (FAQ)

What is the monotone f(x)=-x^4-4x^3+8x-1 ?
The monotone f(x)=-x^4-4x^3+8x-1 is