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Popular >

monotone f(x)=x^3-4x

Solution

monotone intervals

f (x) = x^{3} - 4 x

Solution

Increasing : - \infty < x < - \frac{2}{3}, Decreasing : - \frac{2}{3} < x < \frac{2}{3}, Increasing : \frac{2}{3} < x < \infty

Solution steps

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

Find intervals:

Increasing

: - \infty < x < - \frac{2}{3},

Decreasing

: - \frac{2}{3} < x < \frac{2}{3},

Increasing

: \frac{2}{3} < x < \infty

Increasing : - \infty < x < - \frac{2}{3}, Decreasing : - \frac{2}{3} < x < \frac{2}{3}, Increasing : \frac{2}{3} < x < \infty

Popular Examples

symmetry y=x^2+2 symmetry

y = x^{2} + 2

inverse of f(x)=(8x-10)/(-8x-1)inverse

f (x) = \frac{8 x - 10}{- 8 x - 1}

asymptotes of f(x)=(x^2+1)/(7x-2x^2)asymptotes

f (x) = \frac{x ^{2} + 1}{7 x - 2 x ^{2}}

slope of 7x+5y=10 slope

7 x + 5 y = 10

intercepts of y=27-x^3 intercepts

y = 27 - x^{3}

Frequently Asked Questions (FAQ)

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