If , where , then…

MATHEMATICS · Single correct · A Level · Mathematics · Differentiation · Differentiation

Problem

If ddx(f(x))=e−xf(x)+exf(−x)\frac{d}{dx}\bigl(f(x)\bigr)=e^{-x}f(x)+e^xf(-x), where f(0)=0f(0)=0, then f(x)f(x) is (1) an even function (2) an odd function (3) neither even nor odd function (4) can't say

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