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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
.
