Practice Questions on Derivative of Natural log x
1. If y = x/log x, then find the value of dy/dx.
2. If y = log x/sinx, find the value of dy/dx.
3. Find the derivative of the function f(x) = log(x2+3x+4).
4. Find the derivative of the function f(x) = √(log x).
5. Find the value of f'(x), if f(x) = x log x.
Derivative of ln x (Natural Log)
The derivative of ln x is 1/x. We can also say that the derivative of natural log x is 1/x. The derivative of any function gives the change in the functional value with respect to change in the input variable. Natural log x is an abbreviation for the logarithmic function with the base as Euler’s Number, i.e. e.
In this article, we will discuss the derivative of natural log x, various methods to derive it including the first principal method and implicit differentiation, some solved examples, and practice problems.