Mathematics

Mathematics

Problem

For 0<x<60<x<6, the second derivative of a function ff is f′′(x)={20<x<3,−13<x<6.f''(x)=\begin{cases} 2 & 0<x<3,\\ -1 & 3<x<6. \end{cases} Identify the open intervals in (0,6)(0,6) on which the first derivative f′f' is increasing and those on which f′f' is decreasing.

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