Calculating Derivative – ln in ln – Exercise 6355

Exercise

Find the derivative of the following function:

f(x)=\ln\ln x

Final Answer


f'(x)=\frac{1}{x\ln x}

Solution

f(x)=\ln\ln x

Using Derivative formulas and chain rule in Derivative Rules, we get the derivative:

f'(x)=\frac{1}{\ln x}\cdot\frac{1}{x}=

One can simplify the derivative:

=\frac{1}{x\ln x}

Have a question? Found a mistake? – Write a comment below!
Was it helpful? You can buy me a cup of coffee here, which will make me very happy and will help me upload more solutions! 

Share with Friends

Leave a Reply