f.4 a.maths---second derivates

2007-06-08 6:03 am
find the second derivates of y=x︿n+x︿(-n)

回答 (1)

2007-06-08 6:11 am
✔ 最佳答案
y = x^n + x^(-n)
dy/dx = n x^(n-1) - n x^(-n-1)
d^2 y/dx^2 = n(n-1) x^(n-2) - n(-n-1) x^(-n-2)
= n(n-1) x^(n-2) + n(n+1) x^(-n-2)


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