2.3 Differentiation Rules Worksheet - Calculus Maximus Page 5

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Calculus Maximus
WS 2.3: Differentiation Rules
a  ), if they exist, such that f is differentiable for all x. As always,
18. Find the values of a and/or b (
0
show the work that leads to your answer.
cos ,
x x
 
3
ax x
,
2
 
 
2
 
 
(a)
(b)
f x
f x
 
2
x
b x
,
2
ax b x
,
 
2
2
ax
,
x
1
sin ,
x x
0
 
 
 
 
(c)
f x
(d)
f x
ax x
,
0
 
b x x
,
1
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