JAMB 2014 · UTME · Q39

If y=cos⁡3xy = \cos 3x, find dydx\dfrac{dy}{dx}.

Worked solution (try it first)
  1. Chain rule: cos⁡3x\cos3x differentiates to −sin⁡3x-\sin3x times the derivative of 3x3x, which is 3.
  2. So dydx=−3sin⁡3x\frac{dy}{dx} = -3\sin3x, option A.

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