The list of all the Derivatives of Logarithmic functions.

Derivatives of Logarithmic Functions

The following are the derivatives of logarithmic functions whose base is a (any positive constant other than 1) and whose argument is x, with the differentiation with respect to x.

• (d/dx) ln(x) == 1 / x
• (d/dx) log_a(x) == 1 / (x ln(a))
• (d/dx) ln(f(x)) == (1 / f(x)) * (d/dx) f(x)
• (d/dx) log_a(f(x)) == (1 / (f(x) ln(a))) * (d/dx) f(x)