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Popular >

monotone f(x)=(8-3x)/(x^2-2x)

Solution

monotone intervals

f (x) = \frac{8 - 3 x}{x ^{2} - 2 x}

Solution

Increasing : - \infty < x < 0, Increasing : 0 < x < \frac{4}{3}, Decreasing : \frac{4}{3} < x < 2, Decreasing : 2 < x < 4, Increasing : 4 < x < \infty

Solution steps

f^{'} (x) = \frac{3 x ^{2} - 16 x + 16}{( x ^{2} - 2 x ) ^{2}}

Find intervals:

Increasing

: - \infty < x < 0,

Increasing

: 0 < x < \frac{4}{3},

Decreasing

: \frac{4}{3} < x < 2,

Decreasing

: 2 < x < 4,

Increasing

: 4 < x < \infty

Increasing : - \infty < x < 0, Increasing : 0 < x < \frac{4}{3}, Decreasing : \frac{4}{3} < x < 2, Decreasing : 2 < x < 4, Increasing : 4 < x < \infty

Popular Examples

range of f(x)=-5x-5 range

f (x) = - 5 x - 5

monotone x^3-3/2 x^2 monotone intervals

x^{3} - \frac{3}{2} x^{2}

range of f(x)=sqrt(100-x^2)range

f (x) = 100 - x^{2}

inverse of f(x)=4^x inverse

f (x) = 4^{x}

inverse of f(x)=ln(x-2)inverse

f (x) = ln (x - 2)

Frequently Asked Questions (FAQ)

What is the monotone f(x)=(8-3x)/(x^2-2x) ?
The monotone f(x)=(8-3x)/(x^2-2x) is