what is the derivative of a constant

The derivative of a constant is always zero/03%3A_Derivatives/3.03%3A_Differentiation_Rules). This means that if f(x) = c, where c is a constant, then f(x) = 0/03%3A_Derivatives/3.03%3A_Differentiation_Rules). A constant function is a function whose y does not change for variable x, and it is a horizontal line in the form of y = k or f(x) = k/03%3A_Derivatives/3.03%3A_Differentiation_Rules). Since the slope of a horizontal line is always equal to zero, the derivative of a constant function must be equal to its slope of zero/03%3A_Derivatives/3.03%3A_Differentiation_Rules). The derivative of a constant function is one of the most basic and straightforward differentiation rules that students must know/03%3A_Derivatives/3.03%3A_Differentiation_Rules).