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A#25.5
Name:_________________________________________ Date:___________ Period:___
Normal Line Worksheet
1. Given
f ( x) 
2x  1
, answer the following questions.
2x  1
a) Use a graphing utility to graph f(x).
b) Find the zeros of f(x).
c) Calculate f ’(x).
d) Determine those points where f(x) has a horizontal tangent. Justify your answers.
e) Write the equation of the line tangent to the graph of f(x) at the point where x=1.
f) A normal line is perpendicular to a tangent line at a given point. Write the equation of
the normal line to the graph of f(x) at the point where x=1.
a)
Find the derivative of the following functions.
2. f(x) = (x3 + 1)(x2 – 2)
3.
f ( x) 
3
 3x
x2
4.
f ( x) 
1
 2x
3x  1
5.
f ( x) 
5x  1
x 1
A#25.5