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Popular Functions >

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

Solution

monotone

Solution

Decreasing : - \infty < x < \frac{- 3 - 137}{8}, Increasing : \frac{- 3 - 137}{8} < x < 0, Decreasing : 0 < x < \frac{137 - 3}{8}, Increasing : \frac{137 - 3}{8} < x < \infty

Solution steps

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

Find intervals:

Decreasing

: - \infty < x < \frac{- 3 - 137}{8},

Increasing

: \frac{- 3 - 137}{8} < x < 0,

Decreasing

: 0 < x < \frac{137 - 3}{8},

Increasing

: \frac{137 - 3}{8} < x < \infty

Decreasing : - \infty < x < \frac{- 3 - 137}{8}, Increasing : \frac{- 3 - 137}{8} < x < 0, Decreasing : 0 < x < \frac{137 - 3}{8}, Increasing : \frac{137 - 3}{8} < x < \infty

Graph

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Frequently Asked Questions (FAQ)

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