What is the derivative of 485?

Answer 1

The derivative of any expression is the rate at which it changes. A constant, such as

a number made from digits, doesn't change, so its derivative is zero.

485 is a constant. It doesn't change, so its derivative (the rate at which it changes)

is zero.

You can also take any constant, call it c, and apply the definition of a derivative using limits. Lim as h goes to 0 of {f(x+h)-f(x)}/h becomes lim as h goes to 0 of (c-c)/h which is 0