For example, instead of a 2-point derivative defined in Eq (\ref{equation-derivative-definition}) from which the first and central difference differentiators were derived, the definition of a 5-point standard derivative can be used to design a different filter, the coefficients of which are given by This is the Fourier Transform of the filter coefficients shown at the bottom of the same figure that form the impulse response of the differentiating filter. The output of this lowpass filter is then passed through an ideal differentiator that yields the same output as from the differentiating filter in route 1 above.