  We carry out spatially resolved spectral analysis with a physical scale of
$\sim$10 pc in X-ray for the superbubble 30 Dor C, which has the largest
diameter of $\sim$80 pc and the brightest non-thermal emission in superbubbles
for the first time. We aim at investigating spatial variation of the physical
properties of non-thermal emission as detected in some supernova remnants in
order to study particle acceleration in a superbubble. We demonstrated that
non-thermal components are detected in all the regions covering the entire
field of 30 Dor C. The spectra in the west region of 30 Dor C can be described
with a combination of the thermal and non-thermal components while the spectra
in the east region can be fitted with the non-thermal component alone. The
photon index and absorption corrected intensity in 2-10 keV of the non-thermal
component show spatial variation from $\sim$2.0 to $\sim$3.7 and (4-130)
$\times$ 10$^{-8}$ erg~s$^{-1}$~cm$^{-2}$~str$^{-1}$, respectively, and the
negative correlation between the non-thermal physical properties is observed.
The temperature and normalization of the thermal component also vary within a
range of $\sim$0.2-0.3 keV and $\sim$0.2-7 $\times$ 10$^{17}$ cm$^{-5}$
str$^{-1}$, respectively, and the positive correlation between the photon index
and the normalization is also detected. We revealed the correlations in a
supperbubble for the first time as is the case in SNRs, which suggests the
possibility that the same acceleration mechanism works also in the
supperbubble.
