Differentiate: y = sin(2x).

Using the chain rule with u = 2x:

y = sin(2x) becomes y = sin(u)

dy/dx = dy/du * du/dx

dy/du = cos(u)

du/dx = 2

So dy/dx = dy/du * du/dx = 2 cos(u).

Answered by Samuel B. Maths tutor

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