Derivative of log 2 x how to#

This means the chain rule will allow us to perform the differentiation of the expression ln^2x.

Derivative of log 2 x how to#

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

We know how to differentiate ln(x) (the answer is l/x).

The chain rule is useful for finding the derivative of a function 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. Using the product rule, the derivative of ln^2x is 2ln(x)/x Finding the derivative of ln^2x using the chain rule Then remember that ln 2(x) is equal to ln(x).ln(x)Д«y setting f(x) and g(x) as ln(x) means that F(x) = f(x).g(x) and we can apply the product rule to find F'(x) (remembering that the derivative of ln(x) is 1/x) F'(x)

Then the derivative of F(x) is F'(x) = fвЂ™(x)g(x) + f(x)g'(x) The product rule for differentiation states that the derivative of f(x).g(x) is fвЂ™(x)g(x) + f(x).gвЂ™(x)ДЇor two differentiable functions f(x) and g(x) Finding the derivative of ln^2x using the product rule The second method is by using the chain rule for differentiation. The first method is by using the product rule for derivatives (since ln 2(x) can be written as ln(x).ln(x)). There are two methods that can be used for calculating the derivative of ln^2(x). Here are our posts dealing with how to differentiate ln(x 2) and how to differentiate ln(2x)

Note that in this post we will be looking at differentiating ln 2(x) which is not the same as differentiating ln(x 2) or ln(2x). How to calculate the derivative of ln^2(x)