Differentiation of Logarithmic Functions

Summary

the logarithmic function is the inverse of the exponential function.

the inverse of y = ex is y = log ex (which is written as ln x).

the derivative of loge x is 1/x.

the chain rule is used to differentiate other logarithmic functions.

(the differentiation of logarithms to bases other than are not studied at this level.)

 

Key Skills

  • differentiate logarithmic functions
  • use the chain rule to differentiate more complex logarithmic functions

Vocabulary

logarithm, logarithmic function, natural logarithm, gradient function,chain ruledifferentiategradient