24 Homework: Exponents, Logs, Trig Functions

  1. Take the derivative of the following functions
    1. [latex]\cfrac{d}{dx}\ x^3 + e^x[/latex]
      [latex]3x^2 + e^x[/latex]

      ans
    2. [latex]\cfrac{d}{dx}\ 5 \ln(x) - x^{-1}[/latex]
      [latex]\frac{5}{x} + x^{-2}[/latex]

      ans
    3. [latex]\frac{d}{dx}\ \log_{10}(x)[/latex]
      [latex]\frac{1}{\ln(10) x}[/latex]

      ans
    4. [latex]\frac{d}{dx}\ 5 \sin(x) - 3 \cos(x)[/latex]
      [latex]5 \cos(x) + 3 \sin(x)[/latex]

      ans

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