Page 79 - Calculus Workbook For Dummies

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Chapter 5: Getting the Big Picture: Differentiation Basics

9. Use the difference quotient to find the 10. Figure the derivative of g x = 4 x + 5
^ h
derivative of the parabola from problem 4, using the difference quotient.
2
y = - x + 5.
Solve It
Solve It

11. Use the parabola from problem 8, but make 12. For the position function in problem 11,
2
it a position function, s t = t 3 , where t is what’s the instantaneous velocity at t = 4?
^ h
in hours and s(t) is in miles. Hint: Use the derivative.
a. What’s the average velocity from t = 4 to Solve It
t = 5?
b. What’s the average velocity from t = 4 to
t = 4.1?
c. What’s the average velocity from t = 4 to
t = 4.01?
Solve It