Question

1) Evaluate the indicated limits by direct evaluation. Change the form of the function where necessary.

a) limx-->12x-12-12x-2

b) limx-->∞1-2x24x+32

2)Calculate the slope of the line tangent to the following curve at the given point:

y=1-12x2 at P=(2,-1)

3)find the indicated derivative using the definition:

dydx fi y=2x3

4)Find the derivative of the function by using the definition: y=4(x-4)

5) Find the derivative of the function by using the definition. Then, evaluate the derivative at the given point:

y=2x2-3x P=(-1,5)

PLEASE SHOW ALL WORK!