Draw rough graphs of several functions from Table 6.1. Below each graph, on the same sheet of paper, make a rough graph of the derivative of the same function.

Table 6.1

Function, y = y(x).......................Derivative, dy/dx = y'(x)
axⁿ.............................................................anxⁿ⁻¹
ae^bx............................................................abe^bx
a.....................................................................0
a sin (bx).................................................ab cos (x)
a cos (bx)..............................................−ab sin (bx)
a ln (x).............................................................a/x
a tan (x)