设y=sin(x^4),则dy/d(x^2)=?

来源：学生作业帮编辑：大师作文网作业帮分类：数学作业时间：2024/11/15 20:18:30

设x^2=a则y=sin(a^2)
∴dy/d(x^2)=dy/da=dsin(a^2)/da=cos(a^2)*da^2/da=2acos(a^2),
将a=x^2代入式中即可得dy/d(x^2)=2x^2cos(x^4).

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