Find dx/dy if y=sin2x

Harlen Pritchard

Harlen Pritchard

Answered question

2021-02-12

Find dxdy if y=sin2x

Answer & Explanation

gwibdaithq

gwibdaithq

Skilled2021-02-13Added 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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