Physics I / Differentiation rules and composition
Practice question · Select all that apply

Which rules are needed to differentiate h(x)=x2⋅cos⁡(3x)h(x) = x^{2}\cdot \cos(3x)?

Hints
  1. Break the expression into its structural parts before choosing rules.
  2. Nothing here is divided, so one listed rule is irrelevant.
Show the answer
  • B. Product rule
  • C. Chain rule
  • D. Power rule
Why

Product rule for x2x^{2}·cos⁡(3x)\cos(3x); chain rule for cos⁡(3x)\cos(3x) (inner derivative 3); power rule for x2x^{2}.

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