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Popular >

monotone f(x)=x^5-4x^3+2x

Solution

monotone intervals

f (x) = x^{5} - 4 x^{3} + 2 x

Solution

Increasing : - \infty < x < - \frac{6 + 26}{5}, Decreasing : - \frac{6 + 26}{5} < x < - \frac{6 - 26}{5}, Increasing : - \frac{6 - 26}{5} < x < \frac{6 - 26}{5}, Decreasing : \frac{6 - 26}{5} < x < \frac{6 + 26}{5}, Increasing : \frac{6 + 26}{5} < x < \infty

Solution steps

f^{'} (x) = 5 x^{4} - 12 x^{2} + 2

Find intervals:

Increasing

: - \infty < x < - \frac{6 + 26}{5},

Decreasing

: - \frac{6 + 26}{5} < x < - \frac{6 - 26}{5},

Increasing

: - \frac{6 - 26}{5} < x < \frac{6 - 26}{5},

Decreasing

: \frac{6 - 26}{5} < x < \frac{6 + 26}{5},

Increasing

: \frac{6 + 26}{5} < x < \infty

Increasing : - \infty < x < - \frac{6 + 26}{5}, Decreasing : - \frac{6 + 26}{5} < x < - \frac{6 - 26}{5}, Increasing : - \frac{6 - 26}{5} < x < \frac{6 - 26}{5}, Decreasing : \frac{6 - 26}{5} < x < \frac{6 + 26}{5}, Increasing : \frac{6 + 26}{5} < x < \infty

Popular Examples

range of arccos(2y)range

arccos (2 y)

inverse of f(x)=((x^2-25))/(x^2-4x-5)inverse

f (x) = \frac{( x ^{2} - 25 )}{x ^{2} - 4 x - 5}

domain of f(x)=sqrt(7x-25)domain

f (x) = 7 x - 25

parity (|7x+b|)/(7x+b)parity

\frac{∣ 7 x + b ∣}{7 x + b}

inverse of 12x^2-14x inverse

12 x^{2} - 14 x

Frequently Asked Questions (FAQ)

What is the monotone f(x)=x^5-4x^3+2x ?
The monotone f(x)=x^5-4x^3+2x is