# What is the derivative of sqrt(30)?

Mar 13, 2016

$0$

#### Explanation:

Recall that $\sqrt{30}$ is a constant, approximately equal to $5.47722558$.

The derivative of any constant, even an irrational one like $\sqrt{30}$, is $0$.

Since the derivative represents the rate of change of any function, the graph of a single value won't change because it is always that value, resulting in a rate of change of $0$.

graph{y=sqrt(30)+0x [-17.53, 18.51, -4.62, 13.4]}

The graph of a horizontal line, which here is $y = \sqrt{30}$, has a slope (rate of change) of $0$.