Homework 1, Math 140

1) Use the difference quotient to find the slope of f(x)=6x at x=3.

2) Find the derivative of the following:

a)

b)

c)

d)

3) Find the limit of the following:

a)

b)

c)

4) Given the function find:

a) The critical point(s) for f(x)

b) Whether the critical point(s) are local min’s and max’s or global min’s and max’s

c) Plot the function to verify your answer to b). [hint: when plotting choose b to be some number like, say, 1]