搜搜做题作业网设y=sin(x^4),则dy/d(x^2)=?
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设y=sin(x^4),则dy/d(x^2)=?
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).
∴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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