the derivative of a constant is…
The derivative of a constant is zero
The derivative of a constant is zero.
To understand why, let’s start by defining what a derivative is. The derivative of a function represents the rate of change of that function with respect to its independent variable. It measures how the function is changing at any given point.
Now, consider a constant function, such as f(x) = C, where C is a constant. As it is a constant, the value of the function does not change as the independent variable (x) changes. Therefore, the rate of change of a constant function is zero, which is represented by the derivative.
In mathematical notation, we express the derivative of a constant function as:
f'(x) = 0
So, regardless of the specific value of the constant, the derivative of a constant function is always zero.
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