ADXRS649 Angular Velocity and Acceleration

I am interested in using the ADXRS649 to measure angular velocity and acceleration.

Based on the specifications, I believe that the sensor will be sufficient to measure angular velocity, but I was wondering if I could differentiate signal to get angular acceleration.  My worry is that the velocity signal will be too noisy and that I will not be able to differentiate to get a "useable" acceleration signal.

For my application, the max angular velocity will be 300 rad/s that will occur over 10ms, and I will be sampling the signal at 10kHz.

Thanks