  The shape of the Fermi surface influences many physical phenomena in
materials and a growing interest in how the spin-dependent properties are
related to the fermiology of crystals has surged. Recently, a novel
current-dependent nonlinear magnetoresistance effect, known as bilinear
magnetoelectric resistance (BMR), has been shown to be not only sensitive to
the spin-texture in spin-polarized non-magnetic materials, but also dependent
on the convexity of the Fermi surface in topological semimetals. In this paper,
we show that the temperature dependence of the BMR signal strongly depends on
the crystal axis of the semimetallic MoTe${}_2$. For the a-axis, the amplitude
of the signal remains fairly constant, while for the b-axis it reverses sign at
about 100 K. We calculate the BMR efficiencies at 10 K to be $\chi^{J}_{A} =
(100\pm3)$ nm${}^2$T${}^{-1}$A${}^{-1}$ and $\chi^{J}_{B} = (-364\pm13)$
nm${}^2$T${}^{-1}$A${}^{-1}$ for the a- and b-axis, respectively, and we find
that they are comparable to the efficiencies measured for WTe${}_2$. We use
density functional theory calculations to compute the Fermi surfaces of both
phases at different energy levels and we observe a change in convexity of the
outer-most electron pocket as a function of the Fermi energy. Our results
suggest that the BMR signal is mostly dominated by the change in the Fermi
surface convexity.
