Differentiate trigonometric functions

Find the derivative of functions involving sin, cos, tan, or their powers/compositions, including products like sin(x)cos(x).

1 questions · Moderate -0.8

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OCR MEI Paper 2 2020 November Q3
4 marks Moderate -0.8
3 You are given that \(y = 4 x + \sin 8 x\).
  1. Find \(\frac { \mathrm { dy } } { \mathrm { dx } }\).
  2. Find the smallest positive value of \(x\) for which \(\frac { \mathrm { dy } } { \mathrm { dx } } = 0\), giving your answer in an exact form.