5. Graphical Applications of Derivatives

Identify the open intervals on which the function is increasing or decreasing.

$f(x)=3x^4+8x^3-18x^2+7$

Identify the local minimum and maximum values of the given function, if any.

$f\(\left\)(\(\theta\[\right\))=\(\sin\]\theta\)+\(\cos\)^2\(\theta\)$ on $[0,π]$

Identify the intervals on which the function is increasing or decreasing.

$f(x)=\(\sin\)^2x$ on $[0,\(\pi\)]$

Identify the open intervals on which the function is increasing or decreasing.

$f(x)=x^{2/3}(4-x)$