Constant Rule
d/dx (Constant) = 0
The constant rule is a basic principle in calculus that states that the derivative of a constant function is equal to zero. In mathematical terms, if f(x) = c, where c is a constant, then f'(x) = 0 for all values of x.
The reason for this is that a constant function is simply a horizontal line with a fixed value. Since the derivative of a function measures the rate of change of the function, the slope of a horizontal line is always zero, meaning there is no change in the value of the function with respect to x. Therefore, the derivative of a constant function is always zero.
This rule can be applied in many different contexts, such as calculating tangents and finding the maximum and minimum values of a function. It is an important concept to understand in calculus as it helps to simplify calculations and understand the behavior of functions.
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