PRACTICE IDENTIFYING FUNCTION TYPE
(interactive selftest)
Suggestions for this self exam:
[A] 
Study the 6 rules for derivatives described in chapter 2. Each
of these rules applies to a particular "type" of function,
so you must identify the "type" of your function before
choosing a rule to differentiate it. 
[B] 
For each function below, click on the
leftmost button naming it's type,
but DO NOT move the mouse around while you think:
that is cheating. 
[1] If f(x) = x^{2} + 2x  5 , then what type is f ?
[2] If f(x) = 3(5x^{3}  2x + 5) , then what type is f ?
[3] If f(x) = , then what type is f ?
[4] If f(x) = 5 , then what type is f ?
[5] If f(x) = 
(1  2x)^{2} 

(3x  1)^{3} 

, then what type is f ? 
[6] If f(x) = (2x+1)(3x2) , then what type is f ?
[7] If f(x) = x^{2} , then what type is f ?
[8] If f(x) = (x+1)(x2)  (x+3)(x5) , then what type is f ?
[9] If f(x) = 
x + 1 

x  1 

, then what type is f ? 
[10] If f(x) = (1 + x^{2})^{4} , then what type is f ?
[11] If f(x) = (the square root of x) , then what type is f ?
[12] If f(x) = 16x^{2} , then what type is f ?
[13] If f(x) = 3x^{1}  2x^{2} + 2x^{3} , then what type is f ?
[14] If f(x) = 

(1  2x)^{2} 

(3x  1)^{3} 


3 
, then what type is f ? 