Use a computer algebra system to graph f and to find f$$ and f$.$ Use graphs of these derivatives to find the following. $($Enter your answers using interval notation. Round your answers to two decimal places. If an answer does not exist, enter DNE.$)(x)=\sqrt[\phantom{2}]{x+5sin(x)},x20$

Find the intervals where the function is increasing.

Find the intervals where the function is decreasing.

Find the local maximum value$($s$)$ of the function. $($Enter your answers as a comma$-$separated list.$)$

Find the local minimum value$($s$)$ of the function. $($Enter your answers as a comma$-$separated list.$)$

Find the inflection points of the function. $($Order your answers from smallest to largest $x,$ then from smallest to largest $y.)$

largest $x-$value $,(x,y)=()$

Find the intervals where the function is concave up$.$

Find the intervals where the function is concave down.