What is the derivative of #sqrt(30)#?

1 Answer
Mar 13, 2016

Answer:

#0#

Explanation:

Recall that #sqrt30# is a constant, approximately equal to #5.47722558#.

The derivative of any constant, even an irrational one like #sqrt30#, 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=sqrt30#, has a slope (rate of change) of #0#.