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Solve the following 5 problems:

1. By examining the graph f '(x) = xcos(x) + sin(x), determine the number of relative (local) maxima that exist on the interval 9pi for f (x).

 

 

 

2. Which choice is the equation of the tangent line to y = 4(x - 2)3
at x = 1?
1) y - 4 = 12(x - 1)
2) y + 4 = 12(x - 1)
3) y - 27 = 24(x - 1)
4) y - 27 = 24(x + 1)
5) y - 4 = -12(x - 1)

 



3. Which choice is dydx when   cdm84 ?
1) cdm84b
2) cdm84c
3) cdm84d
4) cdm84a
5) cdm84e

 

 

 

4. Which choice is dydx when   cdm84 ?

1) cdm84b
2) cdm84c
3) cdm84d
4) cdm84a
5) cdm84e

 

 

5. Find cd9dydx when y = sin(x) + sec(x).

 

 

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