Derivative of logarithmic functions

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Examples
Lessons
  1. derivative of log with arbitrary base
    ddx  log5x\frac{{d}}{{{d}x}}\;{\log _5}x
    ddx  log(1000cscx)\frac{{d}}{{{d}x}}{\;log}\left( {1000 - \csc x} \right)
    1. derivative of natural log
      ddx  lnx\frac{{d}}{{{d}x}}{\;ln}x
      ddx  ln(cosx)\frac{{d}}{{{d}x}}{\;ln}\left( {\cos x} \right)
      ddx  ln(5x32x+7)\frac{{d}}{{{d}x}}{\;ln}\left( {5{x^3} - 2x + 7} \right)
      1. Differentiate:
        y=3  lnx  y = {^3}\sqrt{{{\;ln}x\;}}