PRACTICE IDENTIFYING FUNCTION TYPE
(interactive self-test)
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
left-most button naming it's type,
but DO NOT move the mouse around while you think:
that is cheating. |
[1] If f(x) = x2 + 2x - 5 , then what type is f ?
[2] If f(x) = -3(5x3 - 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)(3x-2) , then what type is f ?
[7] If f(x) = x2 , then what type is f ?
[8] If f(x) = (x+1)(x-2) - (x+3)(x-5) , then what type is f ?
[9] If f(x) = |
x + 1 |
|
x - 1 |
|
, then what type is f ? |
[10] If f(x) = (1 + x2)4 , then what type is f ?
[11] If f(x) = (the square root of x) , then what type is f ?
[12] If f(x) = 16x2 , 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 ? |