The derivative and integral of a constant is what?
The derivative of a constant is 0 and the integral of a constant is equal to the constant multiplied by the variable of integration.
The derivative of a constant is always 0. This means that if you have a function f(x) = c, where c is a constant, then the derivative of f(x) with respect to x is f'(x) = 0.
The integral of a constant is the constant multiplied by the variable of integration. In other words, if you have a constant c and you want to find the integral of c with respect to x, then the result is c times x plus a constant of integration.
In mathematical notation, this can be written as ∫ c dx = cx + C, where C is the constant of integration.