The step by step time constants
I coloured zones for dynamic losses.
When using a driver with matched impedance to the gate resistance, Rg ;
- During turn-on Ids almost peaks THEN Vds falls
- During turn-off Vds almost peaks THEN Ids falls.
- during these dynamic switching times
- Pd= Vds*Ids is greatest.
As once written, seek and ye shall find.
or re-Search, next time DIY.
From your datasheet...
spec: VGS = 4.5V, RGEN = 6 Ω You are driving gate with 1k5 instead of 6 Ω , so we use total Gate Charge equation and datasheet specs instead using worst case.
So effectively with a high source R you are driving with a current source Ig=Vgs/R
then from $$ I_g = ΔQ_g/Δt_s , (ΔQ=Q) , Δt_s = Q_g/I_g = Q_gR_g/V_{gs} = 5nC_{max}\cdot 1k5/5V=1us$$
Yet if we simply used T=RC=1k5*195pf=293ns (typ) (0.3us) is only 30% typ of the more accurate worst case gate charge times.
The Miller plateau for a current source gate drive means that from C=Q/V is Vgs is flat and Q jumps to the right, that means C rises until Vds drops to minimum. This is a negative feedback effect.