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cos(8x+6)的导数cos(8x+6)=cos(8x)cos6-sin(8x)sin6{cos(8x)cos6}'=-8sin(8x)cos6-cos(8x)sin6{-sin(8x)sin6}'=-8cos(8x)sin6-sin(8x)cos6原式’=-8sin(8x)cos6-cos(8x)sin6-8cos(8x)sin6-sin(8x)cos6
题目详情
cos(8x+6)的导数
cos(8x+6)=cos(8x)cos6-sin(8x)sin6
{cos(8x)cos6}'=-8sin(8x)cos6-cos(8x)sin6
{-sin(8x)sin6}'=-8cos(8x)sin6-sin(8x)cos6
原式’=-8sin(8x)cos6-cos(8x)sin6-8cos(8x)sin6-sin(8x)cos6
cos(8x+6)=cos(8x)cos6-sin(8x)sin6
{cos(8x)cos6}'=-8sin(8x)cos6-cos(8x)sin6
{-sin(8x)sin6}'=-8cos(8x)sin6-sin(8x)cos6
原式’=-8sin(8x)cos6-cos(8x)sin6-8cos(8x)sin6-sin(8x)cos6
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答案和解析
答案:-8sin(8x+6) 绝对没错 我刚高考完.
另:cos(8x+6)=cos(8x)cos6-sin(8x)sin6
{cos(8x)cos6}'=-8sin(8x)cos6-cos(8x)sin6
{-sin(8x)sin6}'=-8cos(8x)sin6-sin(8x)cos6
原式’=-8sin(8x)cos6-cos(8x)sin6-8cos(8x)sin6-sin(8x)cos6
不对.因为复合函数求导从外往内算,再把所有的乘起来.
另:cos(8x+6)=cos(8x)cos6-sin(8x)sin6
{cos(8x)cos6}'=-8sin(8x)cos6-cos(8x)sin6
{-sin(8x)sin6}'=-8cos(8x)sin6-sin(8x)cos6
原式’=-8sin(8x)cos6-cos(8x)sin6-8cos(8x)sin6-sin(8x)cos6
不对.因为复合函数求导从外往内算,再把所有的乘起来.
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