Blog for October 2nd

This week in Calculus we continued working on derivatives. We learned about position, velocity, speed, acceleration, and higher order derivatives. We also learned the four remaining derivative rules.


Position, Velocity, Speed, Acceleration:




Important Points:

• Velocity is first derivative (slope of position), acceleration is second derivative (slope of velocity)
• To find average velocity, find slope of secant line
• To find instantaneous velocity, find derivative

Derivative Rules:
1.

This can be proved by:


2.

This can be proved by:



3.

This can be proved by:


4.
 
This can be proved by:



Practice Problems Using these Rules:
1.


2.