設(shè)H(x)在x=0處二階導(dǎo)數(shù)連續(xù),且H(0)=0,H'(0)不等于0,證明:曲線y=f(x)=(1—cosx)H(x)在x=0
設(shè)H(x)在x=0處二階導(dǎo)數(shù)連續(xù),且H(0)=0,H'(0)不等于0,證明:曲線y=f(x)=(1—cosx)H(x)在x=0
證明f(x)在x=0處必有拐點(diǎn)
證明f(x)在x=0處必有拐點(diǎn)
數(shù)學(xué)人氣:585 ℃時(shí)間:2019-08-18 16:28:14
優(yōu)質(zhì)解答
y'(x)=sinx * H(x) + (1-cosx)H'(x)y''(x)=cosx * H(x) + 2sinx* H'(x)+ (1-cosx)H''(x)當(dāng) x --> 0 時(shí),y''(x)/x = cosx * H(x)/x + 2sin(x)/x * H'(x)+ (1-cosx)/x * H''(x) ---> 1 * H'(0) + 2 * H'(0) + 0 * H''...
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