Why is the operating frequency for CMOS devices critical for determining power dissipation?

A At low frequencies, power dissipation increases.

B At high frequencies, the gate will only be able to deliver 70.7 % of rated power.

C At high frequencies, charging and discharging the gate capacitance will draw a heavy current from the power supply and thus increase power dissipation.

D At high frequencies, the gate will only be able to deliver 70.7 % of rated power and charging and discharging the gate capacitance will draw a heavy current from the power supply and thus increase power dissipation.