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Question
Mathematics
If f(x) is an even function, then f' (x) is
Q. If
f
(
x
)
is an even function, then
f
′
(
x
)
is
2339
229
KCET
KCET 2012
Continuity and Differentiability
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A
an odd function
48%
B
an even function
23%
C
may be even or may be odd
22%
D
nothing can be said
7%
Solution:
Since, if
f
(
x
)
is an even function, then
f
′
(
x
)
is an odd function.