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Product rule

f(3)=−1f(3)=-1 and f′(3)=0f'(3)=0
g(x)=x3g(x)=x^3
Evaluate ddx[f(x)⋅g(x)]\dfrac{d}{dx}[f(x)\cdot g(x)] at x=3x=3.
  • Your answer should be
  • an integer, like 66
  • a simplified proper fraction, like 3/53/5
  • a simplified improper fraction, like 7/47/4
  • a mixed number, like 1 3/41\ 3/4
  • an exact decimal, like 0.750.75
  • a multiple of pi, like 12 pi12\ \text{pi} or 2/3 pi2/3\ \text{pi}