Final answer:
To find the derivative of a log function, use the rules of logarithmic differentiation. The derivative of the natural logarithm function, ln(x), is 1/x. For a log function with a different base, use the change of base formula and the chain rule.
Step-by-step explanation:
To find the derivative of a log function, we can use the rules of logarithmic differentiation. Let's consider the natural logarithm function, ln(x), as an example. The derivative of ln(x) is 1/x. To find the derivative of a log function with a different base, we use the change of base formula and the chain rule.
For example, to find the derivative of log base 2 (x), we can rewrite it as ln(x)/ln(2). Applying the chain rule, the derivative is (1/x)/(ln(2)).
Similarly, if we have a log function with a different base, say log base b (x), the derivative is (1/x)/(ln(b)).