  A symmetry-preserving Poincar\'e-covariant quark+diquark Faddeev equation
treatment of the nucleon is used to deliver parameter-free predictions for the
nucleon's axial and induced pseudoscalar form factors, $G_A$ and $G_P$,
respectively. The result for $G_A$ can reliably be represented by a dipole form
factor characterised by an axial charge $g_A=G_A(0)=1.25(3)$ and a mass-scale
$M_A = 1.23(3) m_N$, where $m_N$ is the nucleon mass; and regarding $G_P$, the
induced pseudoscalar charge $g_p^\ast = 8.80(23)$, the ratio $g_p^\ast/g_A =
7.04(22)$, and the pion pole dominance Ansatz is found to provide a reliable
estimate of the directly computed result. The ratio of flavour-separated quark
axial charges is also calculated: $g_A^d/g_A^u=-0.16(2)$. This value expresses
a marked suppression of the size of the $d$-quark component relative to that
found in nonrelativistic quark models and owes to the presence of strong
diquark correlations in the nucleon Faddeev wave function -- both scalar and
axial-vector, with the scalar diquark being dominant. The predicted form for
$G_A$ should provide a sound foundation for analyses of the neutrino-nucleus
and antineutrino-nucleus cross-sections that are relevant to modern accelerator
neutrino experiments.
