A Simple Derivative Quiz (A)
KU
Name: ______________________________
26
 

3
2
1. If y  f g h  x  , use the chain rule to find y ' when x  4 , given f  x   x , g  x   1  x and
h  x  x .
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2. Differentiate the function, and simplify. You may rewrite the original function before
differentiation.
a) y 
c)
1 7
3
x  6x 
(Do not simplify (a))
7
7 x

f ( x)  2 x 3  5 x 2
 5x
5
2
2

3
b)
f ( x) 

x 

x 

[
x
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d)
x
f ( x) 
x
3
2

 4
8
2
4
3. Use the Chain Rule to find
[
1
1
dy
2
2
given y  2u  3u , u  w 
, and w 
at x  .
2
dx
x
w
[KU
What’s the first derivative of a cow?
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