The phrase "and derived the" is correct and usable in written English.
It can be used when discussing the process of obtaining or calculating something from a source or a set of data.
Example: "The researchers analyzed the data and derived the necessary conclusions to support their hypothesis."
Alternatives: "and obtained the" or "and calculated the".
C.G. processed the WISE data and derived the mixture distribution formulas.
C.C. developed the SPS model, fitted the spectrum and derived the chemical evolution model.
contributed to the theoretical explanation of the experimental observations and derived the model parameters for their interpretation.
S.F. and L.S. undertook the GIS and data extraction work based on the cross boder and HRU areas and derived the CBDI.
We started considering the spectacle-frame functionality and derived the high-level formulation linking aesthetic and engineering specifications.
We calculated the average fraction in mass of individual ocean plastic types per sampling event for stations inside the patch (Supplementary Table 1) and derived the contribution of types 'H', 'N', 'F' and 'P'.
Specifically, this study adopted the robust maximum likelihood estimator (MLR) to estimate parameters for non-normally distributed data and derived the explicit expression of latent variables with intercepts.
We applied external uniaxial compressive forces to the nanotubes in vacuum and derived the critical buckling loads and strains, at room temperature in an NVT-ensemble.
We analyzed the best of these algorithms, explained why they compress well, and derived the Massively Parallel Compression algorithm from them.
We also discussed CCNN-R, a CCNN variation that uses Restricted Boltzmann Machine to replace the convolutional filter, and derived the detailed algorithm.
Though Dillon gives the three parts descriptive titles, and derived the structure from aspects of the painting, there's nothing illustrative about the music, but it does incorporate a quotation from a Dufay motet, and a series of 15th-century texts that may be pre-recorded (as they were here) or delivered live by the musicians.
