Diffrentiation:chain rule

2008-07-07 7:01 am
Find dy/dx of the following implicit function siny=cosx
左邊既 d(siny)/d(x) 點解係 d(siny)/d(y) x dy/dx ?
Thx!

回答 (1)

2008-07-07 7:38 am
✔ 最佳答案
By chain rule, if y=f(u) and u=g(x), then dy/dx = (dy/du)(du/dx)
In this case, regard y as a function of x:
Since sin y= f(y) and y = g(x) (assumption)
d(sin y)/dx = [d(siny)/dy] (dy/dx)


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