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We report detections of the [OIII]$\lambda$4364 auroral emission line for 16galaxies at z=2.1-8.7, measured from JWST/NIRSpec observations obtained as partof the Cosmic Evolution Early Release Science (CEERS) survey program. Wecombine this CEERS sample with 9 objects from the literature at z=4-9 withauroral-line detections from JWST/NIRSpec and 21 galaxies at z=1.4-3.7 withauroral-line detections from ground-based spectroscopy. We derive electrontemperature T_e and direct-method oxygen abundances for the combined sample of46 star-forming galaxies at z=1.4-8.7. We use these measurements to constructthe first high-redshift empirical T_e-based metallicity calibrations for thestrong-line ratios [OIII]/H$\beta$, [OII]/H$\beta$,R23=([OIII]+[OII])/H$\beta$, [OIII]/[OII], and [NeIII]/[OII]. These newcalibrations are valid over 12+log(O/H)=7.0-8.4 and can be applied to samplesof star-forming galaxies at z=2-9, leading to an improvement in the accuracy ofmetallicity determinations at Cosmic Noon and in the Epoch of Reionization. Thehigh-redshift strong-line relations are offset from calibrations based ontypical $z\sim0$ galaxies or HII regions, reflecting the known evolution ofionization conditions between $z\sim0$ and $z\sim2$. Deep spectroscopicprograms with JWST/NIRSpec promise to improve statistics at the low and highends of the metallicity range covered by the current sample, as well as improvethe detection rate of [NII]$\lambda$6585 to allow the future assessment ofN-based indicators. These new high-redshift calibrations will enable accuratecharacterizations of metallicity scaling relations at high redshift, improvingour understanding of feedback and baryon cycling in the early universe.

Direct T_e-based Metallicities of z=2-9 Galaxies with JWST/NIRSpec: Empirical Metallicity Calibrations Applicable from Reionization to Cosmic Noon