In Exercises (a) Use a computer algebra system to differentiate the function (b) Sketch the graphs of and ' on the same set of

In Exercises 

(a) Use a computer algebra system to differentiate the function

(b) Sketch the graphs of ƒ and ƒ' on the same set of coordinate axes over the given interval

(c) Find the critical numbers of ƒ in the open interval, and 

(d) Find the interval(s) on which ƒ' is positive and the interval(s) on which it is negative. Compare the behavior of ƒ and the sign of ƒ'.

f(x) = 10(5-x 3x + 16), [0, 5] - 2