  Stellar rotation is crucial for studying stellar evolution since it provides
information about age, angular momentum transfer, and magnetic fields of stars.
In the case of the Sun, due to its proximity, detailed observation of sunspots
at various latitudes and longitudes allows the precise estimate of the solar
rotation period and its differential rotation. Here, we present for the first
time an analysis of stellar differential rotation using starspot transit
mapping as a means of detecting differential shear in solar-type and M stars.
The aim of this study is to investigate the relationship between rotational
shear, $\Delta\Omega$, with both the star's effective temperature
($T_{\text{eff}}$) and average rotation period ($P_{\text{r}}$). We present
differential rotation profiles derived from previously collected spot transit
mapping data for 13 slowly rotating stars ($P_{\text{rot}} \geq 4.5$ days),
with spectral types ranging from M to F, which were observed by the Kepler and
CoRoT satellites. Our findings reveal a significant negative correlation
between rotational shear and the mean period of stellar rotation (correlation
coefficient of -0.77), which may be an indicator of stellar age. On the other
hand, a weak correlation was observed between differential rotation and the
effective temperature of the stars. Overall, the study provides valuable
insights into the complex relationship between stellar parameters and
differential rotation, which may enhance our understanding of stellar evolution
and magnetic dynamos.
