  We consider measurement of the leading irrelevant scaling exponent
$\gamma_g^\ast$, given by the slope of the beta function, at the fixed point of
SU(2) gauge theory with six or eight flavors. We use the running coupling
measured using the gradient flow method and perform the continuum extrapolation
by interpolating the measured beta function. We study also the dependence of
the results on different discretization of the flow. For the eight flavor
theory we find $\gamma_g^\ast=0.19(8)_{-0.09}^{+0.21}$. Applying the same
analysis also for the six flavor theory, we find
$\gamma_g^\ast=0.648(97)_{-0.1}^{+0.16}$ consistently with the earlier
analysis.
