如图,高数,函数的微分.第四,八小题怎么算?
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如图,高数,函数的微分.第四,八小题怎么算?
![](http://img.wesiedu.com/upload/0/6c/06c7e5f7aafb53fb5de29b980c0be939.jpg)
![](http://img.wesiedu.com/upload/0/6c/06c7e5f7aafb53fb5de29b980c0be939.jpg)
![如图,高数,函数的微分.第四,八小题怎么算?](/uploads/image/z/9153043-43-3.jpg?t=%E5%A6%82%E5%9B%BE%2C%E9%AB%98%E6%95%B0%2C%E5%87%BD%E6%95%B0%E7%9A%84%E5%BE%AE%E5%88%86.%E7%AC%AC%E5%9B%9B%2C%E5%85%AB%E5%B0%8F%E9%A2%98%E6%80%8E%E4%B9%88%E7%AE%97%3F)
(4) dy=2*d(ln(1-x))=2*1/(1-x)*d(1-x)=-2/(1-x)dx
(8) dy=2*d(tan(1+2x^2))=2*(sec(1+2x^2))^2*d(1+2x^2)=2*(sec(1+2x^2))^2*4xdx
再问: 两题和答案都不一样
再答: (4) dy=2*ln(1-x)*d(ln(1-x))=2*ln(1-x)*1/(1-x)*d(1-x)=-2ln(1-x)/(1-x)dx
(8) dy=2*d(tan(1+2x^2))=2*tan(1+2x^2)*(sec(1+2x^2))^2*d(1+2x^2)
=2*tan(1+2x^2)*(sec(1+2x^2))^2*4xdx
注释:dx^2=2xdx,刚才写成dx^2=2dx了,故不一样。
(8) dy=2*d(tan(1+2x^2))=2*(sec(1+2x^2))^2*d(1+2x^2)=2*(sec(1+2x^2))^2*4xdx
再问: 两题和答案都不一样
再答: (4) dy=2*ln(1-x)*d(ln(1-x))=2*ln(1-x)*1/(1-x)*d(1-x)=-2ln(1-x)/(1-x)dx
(8) dy=2*d(tan(1+2x^2))=2*tan(1+2x^2)*(sec(1+2x^2))^2*d(1+2x^2)
=2*tan(1+2x^2)*(sec(1+2x^2))^2*4xdx
注释:dx^2=2xdx,刚才写成dx^2=2dx了,故不一样。