## Derivative of constant

### The derivative of a constant, denoted as “c”, is always 0

The derivative of a constant, denoted as “c”, is always 0. This means that if you have a function f(x) = c, where c is a constant, the derivative of this function is 0.

To understand why the derivative of a constant is 0, let’s think about what derivative measures. The derivative of a function represents the rate of change of the function at any given point. It tells us how the function is changing with respect to its independent variable.

When you have a constant, like c, the value of the function does not change as the independent variable x varies. In other words, the rate of change of the function is always zero, because there is no change happening. Therefore, the derivative of a constant is 0.

In terms of notation, mathematically, we represent the derivative of a constant as follows:

df(x)/dx = 0

This means that the rate at which the function f(x) = c is changing with respect to x is equal to 0.

It’s important to note that this result holds for any constant value, whether it is a whole number, fraction, or any other real number.

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