The light pulse differentiation technology in time domain has shown important applications in the field of time-space metrology, and it makes the measurement precision reach or beyond the standard quantum limit. In this paper, a first-order differentiation experiment of the pulse electric field envelope with a central wavelength of 813 nm and pulse duration of 130 fs has been implemented based on the birefringent crystal and the Fourier pulse shaping system separately. Based on birefringent crystals, the pulse electric field envelop is achieved with energy conversation efficiency of 0.36%. By comparing the spectral distribution of the shaped pulse with the theoretical value, we find that a relatively good overlap can be seen within the full wavelength half maximum range near the central wavelength with an overlap rate of 91.36%, and the difference between them increases as the distance from the central frequency increases. For the first-order differentiated pulse electric field envelope generated by the Fourier pulse shaping system, the energy conversation efficiency rises to 11.10%. Meanwhile, its overlap rate with the theoretical value is over 98.37% within the effective modulation range of the utilized spatial light modulator. Compared with the former method, the latter can achieve much higher energy conversation efficiency and larger overlap spectral range with the theoretical value. Furthermore, as it can be used to achieve random-order differentiated pulses, the Fourier pulse shaping system can meet the demand of high-precision time synchronization applications.