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Derivative Examples Example 1 Suppose the Ball Rolling Down an Incline Lab resulted in a position vs. time function of. What is the velocity as a function.

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1 Derivative Examples Example 1 Suppose the Ball Rolling Down an Incline Lab resulted in a position vs. time function of. What is the velocity as a function of time? Instantaneous Velocity

2 Derivative Examples Example 1 Suppose the Ball Rolling Down an Incline Lab resulted in a position vs. time function of. What is the velocity as a function of time?

3 Derivative Examples Example 1 Suppose the Ball Rolling Down an Incline Lab resulted in a position vs. time function of. What is the velocity as a function of time? Derivative – The instantaneous rate of change of one variable with respect to another. The instantaneous velocity is the derivative of the position with respect to time.

4 Derivative Rules 1.Constant Rule Where b, m and n are constants 2.Power Rule 3.General Power Rule4.Sum or Difference

5 Derivative Examples Example 1 Suppose the Ball Rolling Down an Incline Lab resulted in a position vs. time function of. What is the velocity as a function of time? General Power Rule

6 Derivative Examples Example 2 Calculate the instantaneous velocity at for each of the following position functions.

7 Derivative Examples Example 2 Calculate the instantaneous velocity at for each of the following position functions.

8 Derivative Examples Example 2 continued Calculate the instantaneous velocity at for each of the following position functions.

9 Derivative Examples Example 2 continued Calculate the instantaneous velocity at for each of the following position functions.

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