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若函数f(x)二次可微,求y=f(sinx)的二阶导数
人气:277 ℃ 时间:2020-01-25 15:44:39
解答
y'=f'(sinx)cosx
y''=f''(sinx)cosxcosx+f'(sinx)(-sinx)求原理y'=f'(sinx)[sinx]'=f'(sinx)cosx这是复合函数求导法则y''=[f'(sinx)cosx]'=[f'(sinx)]'cosx+f'(sinx)[cosx]'=f''(sinx)cosxcosx+f'(sinx)(-sinx)乘法法则+复合函数求导法则
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