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4.3

Product and Quotient Rules. 4.3. A particle moves along a line so that at time t where it’s position is given by What is the velocity of the particle when its acceleration is zero?. Find the derivative using the power rule. Simplify first. product rule:.

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4.3

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  1. Product and Quotient Rules 4.3

  2. A particle moves along a line so that at time t where it’s position is given by What is the velocity of the particle when its acceleration is zero?

  3. Find the derivative using the power rule. Simplify first.

  4. product rule: Notice that this is not just the product of two derivatives. This is sometimes memorized as:

  5. Find the derivative.

  6. quotient rule:

  7. quotient rule:

  8. quotient rule:

  9. Is the quotient rule necessary for this problem?

  10. Use your calculator to graph the function and it’s derivative.

  11. Use your calculator to graph the function and it’s derivative.

  12. We can find the derivative of tangent x by using the quotient rule.

  13. Derivatives of the remaining trig functions can be determined the same way. p

  14. Homework P215 #1-31odd, 33a,c,d,35,37,39

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