In mathematics, natural logarithm is a kind of logarithm, and its base is natural number E (about 2.7 18). Let it be ln(x) and x be a real number. Natural logarithm has a very important property: for any real number X, there is ln (ex) = X.

Therefore, when calculating the derivative of natural logarithm, we can first use the chain rule to calculate the derivative of its internal function, and then replace it with the original formula to get the derivative of logarithmic function.

Now, you may wonder why there is the concept of natural logarithm. In fact, natural logarithm appears to solve some shortcomings of ordinary logarithm. The base of common logarithms is 10, and it is recorded as log 10(x). Logarithm is commonly used in computer science, but it does have some shortcomings in mathematics. For example, in computer science, logarithmic operation is often realized by floating-point operation, and floating-point operation itself has precision error, so when using common logarithm to calculate, the precision will be affected to some extent. The base of natural logarithm is natural number e, and the value of e is close to 2.7 18, which has many excellent properties in mathematics. Therefore, when calculating with natural logarithm, the accuracy will be higher than that of ordinary logarithm.