Find dx/dy if y=sin2x

Harlen Pritchard 2021-02-12 Answered
Find dxdy if y=sin2x
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Expert Answer

gwibdaithq
Answered 2021-02-13 Author has 84 answers
y=sin(2x)
If you differentiate sin(x), you get cos(x).
So, if you differentiate sin(u) you will get cos(u).
Then let u = 2x.
Since u = 2x, then dudx=2.
And dydx=(dydu)(dudx).
Now, y=sin(u), with dydu=cos(u).
So, dydx=(dydu)(dudx)=cos(u)2
i.e. dydx=2cos(2x)
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