# What is the derivative of y=ln(2)?

##### 1 Answer
Aug 2, 2014

The derivative of $y = \ln \left(2\right)$ is $0$.

Remember that one of the properties of derivatives is that the derivative of a constant is always $0$. If you view the derivative as the slope of a line at any given point, then a function that consists of only a constant would be a horizontal line with no change in slope. That is why the derivative of any constant is $0$, meaning no changes anywhere.

If the natural log function, $\ln$, only has a constant inside its parenthesis, then it is itself only a constant number. $\ln \left(2\right)$ is an actual number, with a value of around $0.6931472$. Because of that quality of logarithms, we know that $\ln \left(c\right)$ (with $c$ being any constant located in it's domain) will always have a derivative of $0$.