如果函数y=f(x)在x=0处得导数存在,且f（x）=f（-x）求f‘（0）的值
人气：418 ℃ 时间：2019-11-02 02:11:41
解答
f(x) = f(-x)f'(0-)= lim(y->0-) { [f(y) - f(0)]/y } = lim(y->0-) { [f(-y) - f(0)] / (y) }= -lim(y-> 0-) { [f(-y) - f(0)]/ (-y) }= -lim(-y-> 0+){ [f(-y) - f(0)]/ (-y) } = - f'(0+)f'(0) => f'(0+) = f'(0-...
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