Find the derivative of the following: In x and log x

Question

phi · Answer

can you find the derivative of ln x  ?

for log x, use the change of base formula to change to base e
then it is the same problem as the first one.

marissalovescats · Answer

Derivative of lnx is 1/x

marissalovescats · Answer

The reason is because when you're taking the derivative of something with ln it becomes 1/ 

So lnx AKA ln(x) is is 1/x

If it were ln(x+3) the derivative would be 1/x+3 and so on.

marissalovescats · Answer

Also don't forget you have to times it by the derivative of what's in the parenthesis because it involves the chain rule. 

So lnx the derivative is 1/x times 1 which is just 1/x

But if it were something like  

ln(12x+3) it would be 1/12x+3 (12) = 12/12x+3     because 12 is the derivative of 12x+3.

anonymous · Answer

Thank you :)