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If (d(f(x)))/(dx) = e^(-x) f(x) + e^(x) ...

If `(d(f(x)))/(dx) = e^(-x) f(x) + e^(x) f(-x)`, then f(x) is, (given f(0) = 0)
a. an even function
b. an odd function
c. neither even nor odd function
d. can't say

A

an even function

B

an odd function

C

neither even nor odd function

D

can't say

Text Solution

Verified by Experts

The correct Answer is:
B
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