[See Steps] In each part, evaluate the expression given that f(1)=1, g(1)=-2, f^prime(1)=3, and g^prime(1)=-1 ≤ft.(d)/(d x)[f(x) g(x)]|_x=1 ≤ft.(d)/(d


Question: In each part, evaluate the expression given that \(f(1)=1\), \(g(1)=-2, f^{\prime}(1)=3\), and \(g^{\prime}(1)=-1\)

  1. \(\left.\frac{d}{d x}[f(x) g(x)]\right|_{x=1}\)
  2. \(\left.\frac{d}{d x}\left[\frac{f(x)}{g(x)}\right]\right|_{x=1}\)
  3. \(\left.\frac{d}{d x}[\sqrt{f(x)}]\right|_{x=1}\)
  4. \(\frac{d}{d x}\left[f(1) g^{\prime}(1)\right]\)

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