AMATHS(differentiation)

2010-08-11 1:18 am
find dy/dx for the following function.


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回答 (1)

2010-08-11 2:15 am
✔ 最佳答案
y = (4x - 3)sqrt(2x - 5)

Using chain rule and product rule,

dy/dx = (4x - 3) d[sqrt(2x - 5)]/d(2x - 5) X d(2x - 5)/dx + sqrt(2x - 5) d(4x - 3)/dx

= (4x - 3)[1/2sqrt(2x - 5)](2) + 4sqrt(2x - 5)

= [(4x - 3) + 4(2x - 5)]/sqrt(2x - 5)

= (12x - 23) / sqrt(2x - 5)
參考: Prof. Physics


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