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Name_______________________________ Date______________________ Period_____________

BC Calculus Practice Test: All Rules of Differentiation

Part I: Multiple Choice

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BC Free Response:

1. (AB 2000)

2. 2008 AB6

Let f be the function given by ln

( )x

f xx

for all 0x .

(a) Show that the derivative of f is given by 2

1 ln xf x

x

.

(b) Write an equation for the line tangent to the graph of f at 2x e . (c) Find the x-coordinate of the point at which 0f x .

(d) Find the x-coordinate of the point at which 0f x .

(e) Find 0

lim ( )x

f x

.

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