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Math 3A: Review Sheet 1. Review all previous homework assignments.
 

Summary: Math 3A: Review Sheet
1. Review all previous homework assignments.
2. Below is the graph of a function f(x).
Which one is the graph of f (x)?
3. Using the limit definition of the derivative, find the derivatives of the following functions:
f(x) = 3x2
, g(x) =

2x + 1, h(x) = 5x + 3, p(x) = 7.
4. Starting with the graph of f(x) = sin(x), write the equation of the graph that results from first shifting
f(x) 2 units upward, then shifting 4 units to the left, and finally reflecting about the x-axis
5. Find a formula for the inverses of the following functions:
f(x) =
4x - 1
2x + 3
, g(x) =

10 - 2x, h(x) = ex2
, p(x) = ln(x + 10).
6. Evaluate the following limits (if they exist):

  

Source: Akhmedov, Azer - Department of Mathematics, University of California at Santa Barbara

 

Collections: Mathematics