# everything is listed below 2

1)Using the definition of a derivative, i.e., the limit of the difference quotient, find and the equation of the line tangent to the graph at the given value for

$a$. , .

2)A circle has an initial radius of 50 ft when the radius begins decreasing at a rate of 2 ft/min. What is the rate of change of the area at the instant the radius is 10 ft?

3)Find the derivative of the following functions.

a)

b)

c)

d)

4)Evaluate the following limit.

5)Given , find

6)Use the graph of to answer the following questions.

a)Find the values of x in at which is not continuous. Explain why.

b)Find the values of x in at which is not differentiable. Explain why.

7)Find and simplify .