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Popular Functions >

monotone f(x)=x^3-4x^2+x+6

Solution

monotone intervals

f (x) = x^{3} - 4 x^{2} + x + 6

Solution

Increasing : - \infty < x < \frac{- 13 + 4}{3}, Decreasing : \frac{- 13 + 4}{3} < x < \frac{13 + 4}{3}, Increasing : \frac{13 + 4}{3} < x < \infty

Solution steps

f^{'} (x) = 3 x^{2} - 8 x + 1

Find intervals:

Increasing

: - \infty < x < \frac{- 13 + 4}{3},

Decreasing

: \frac{- 13 + 4}{3} < x < \frac{13 + 4}{3},

Increasing

: \frac{13 + 4}{3} < x < \infty

Increasing : - \infty < x < \frac{- 13 + 4}{3}, Decreasing : \frac{- 13 + 4}{3} < x < \frac{13 + 4}{3}, Increasing : \frac{13 + 4}{3} < x < \infty

Graph

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Frequently Asked Questions (FAQ)

What is the monotone f(x)=x^3-4x^2+x+6 ?
The monotone f(x)=x^3-4x^2+x+6 is