fereprofessor.blogg.se - Taking derivative of log

Let’s call the function in the argument g(x), which means: Ln(2x) is in the form of the standard natural log function ln(x), except it does not have x as an argument, instead it has another function of x (2x). Using the chain rule to find the derivative of ln(2x) To perform the differentiation, the chain rule says we must differentiate the expression as if it were just in terms of x as long as we then multiply that result by the derivative of what the expression was actually in terms of (in this case the derivative of 2x).

This means the chain rule will allow us to perform the differentiation of the function ln(2x). We know how to differentiate ln(x) (the answer is 1/x).

We know how to differentiate 2x (the answer is 2).

The chain rule is useful for finding the derivative of an expression which could have been differentiated had it been in x, but it is in the form of another expression which could also be differentiated if it stood on its own. Finding the derivative of ln(2x) using the chain rule The second method is by using the properties of logs to write ln(2x) into a form which differentiable without needing to use the chain rule. The first method is by using the chain rule for derivatives. There are two methods that can be used for calculating the derivative of ln(2x). How to calculate the derivative of ln(2x)