2.3 Differentiation Rules Worksheet - Calculus Maximus Page 3
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6Calculus Maximus
WS 2.3: Differentiation Rules
For 11 & 12, find the value of k such that the given line is tangent to the graph of the given function.
2
11.
f x
x
kx
, line
12.
f x
k x
, line
y
4
x
9
y
x
4
Questions 13-16 are True of False. If False, either explain why, rewrite it to make it true, or provide a
counterexample.
13. If
f x
g x
, then
f x
g x
.
14. If
f x
g x
C
, then
f x
g x
.
dy
1
1
2
3
15. If
y
, then
3
.
16. If
f x
, then
f x
n
n
1
dx
x
nx
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