What is the diffrentiation of logx

Derivative of Logarithm

When the logarithmic function is given by:

f (x) = logb (x)

The derivative of the logarithmic function is given by:

f ' (x) = 1 / (x ln (b))

x is the function argument.

b is the logarithm base.

ln b is the natural logarithm of b.

For example when:

f (x) = log2 (x)

f ' (x) = 1 / (x ln (2))