What is the derivative of sqrt( 2)?

Dec 23, 2015

$0$

Explanation:

$\sqrt{2}$ is simply a constant.

Since the derivative measures the rate of change of a function, a constant like $\sqrt{2}$ which never changes will have a derivative of $0$.

Don't be fooled by things like $\sqrt{2} , {\pi}^{6} / 3 ,$ or $\ln 2$. They are all (irrational) constants and have the same derivative as rational constants like $2 , - 9 ,$ and $\frac{1}{3}$.