Differentiate the following functions with respect to x.
y=csc(2-X^2)
The answer should be -2X csc(2-X^2)cot(2-X^2)
But I can not get the negative sign......
Differentiation of functions
2010-10-09 4:22 am
回答 (4)
2010-10-09 5:13 am
✔ 最佳答案
Your answer should be right圖片參考：http://i707.photobucket.com/albums/ww74/stevieg90/04-105.jpg
2010-10-09 4:59 am
Something wrong with ur ans.
I get the answer in this way
dy/dx = d[csc(2-x^2)]/d(2-x^2) * d(2-x^2)/dx
= -csc(2-x^2)cot(2-x^2) * (-2x)
= 2x csc(2-x^2)cot(2-x^2)
I get the answer in this way
dy/dx = d[csc(2-x^2)]/d(2-x^2) * d(2-x^2)/dx
= -csc(2-x^2)cot(2-x^2) * (-2x)
= 2x csc(2-x^2)cot(2-x^2)
2010-10-09 4:29 am
But d/d(2-X^2) [csc(2-X^2)] also get a negative sign
= -csc(2-X^2)cot(2-X^2)
= -csc(2-X^2)cot(2-X^2)
2010-10-09 4:24 am
negative sign is come from d(2-x^2)/dx=-2x
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