1.Determinethe derivatives of the following functions:

a) ()=cos(4)

b) ()=(2sin()+3)3

c) ()=/, d) ()=(/1)

2.Consider the basic functions ()=3and ()=sin().

a) Find the composite function ()=(()).

b) Find the instantaneous rate of change of at the point where =4.

3.A ball is thrown into the air and its position is given by ()=4.92+60+5m. Find the height at which the ball stops ascending. How long after it is thrown does this happen?

4.An ostrich farmer wants to enclose a rectangular area and then divide it into six pens with fencing parallel to one side of the rectangle (see the figure below). There are 210 meters of fencing available to complete the job. What is the largest possible total area of the six pens?