What is the monotone x^3-12x^2+45x-50 ?

The monotone x^3-12x^2+45x-50 is Increasing:-infinity <x<3,Decreasing:3<x<5,Increasing:5<x<infinity

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monotone x^3-12x^2+45x-50

monotone intervals

x^{3} - 12 x^{2} + 45 x - 50

Increasing : - \infty < x < 3, Decreasing : 3 < x < 5, Increasing : 5 < x < \infty

Solution steps

f^{'} (x) = 3 x^{2} - 24 x + 45

Find intervals:

Increasing

: - \infty < x < 3,

Decreasing

: 3 < x < 5,

Increasing

: 5 < x < \infty

Increasing : - \infty < x < 3, Decreasing : 3 < x < 5, Increasing : 5 < x < \infty

What is the monotone x^3-12x^2+45x-50 ?
The monotone x^3-12x^2+45x-50 is Increasing:-infinity <x<3,Decreasing:3<x<5,Increasing:5<x<infinity