2.3 Differentiation Rules Worksheet - Calculus Maximus Page 6
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6Calculus Maximus
WS 2.3: Differentiation Rules
Multiple Choice
3 2
is differentiable for which values of x?
_____ 19. The function
f x
3
x
x
1
x
x
x
(A) all real numbers
(B)
0,
(C)
0,
(D) for all
0
(E)
, 0
1
5 3
_____ 20. The function
f x
x
4
x
is differentiable for all x-values except
x
3
x
I.
4
x
II.
0
x
III.
3
(A) I only
(B) I and II only
(C) I and III only
(D) III only
(E) I, II, and III
_____ 21. On the interval
0, 2
, for which of the following x-values is the function
f x
tan
x
not
differentiable?
3
x
(A) all real numbers
(B)
x
(C)
x
(D) x
(E)
0
4
2
Page 6 of 6
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