Differentiation 01

2011-12-09 6:59 am
Find the derivatives of the following functions.


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回答 (1)

2011-12-09 6:22 pm
✔ 最佳答案
Let z = e^(- x^2/4)
ln z = - x^2/4
(1/z)dz/dx = (1/4)(- 2x) = - x/2
so dz/dx = - xz/2.
Now y = 4xz
dy/dx = 4x(dz/dx) + 4z
= - 2x^2z + 4z
= 2z(2 - x^2)
= 2e^(- x^2/4)(2 - x^2)


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