Page 76 - Calculus Workbook For Dummies

60 Part III: Differentiation

1. If you leave your home at time = 0, and 2. Using the information from problem 1,
miles dp write a function that gives your position
go 60 in your car, what’s , the
hour dt as a function of time.
derivative of your position with respect
to time? Solve It

Solve It

3. What’s the slope of the parabola 4. What’s the derivative of the parabola
2
1 2 23 85 y = - x + 5 at the point (0, 5)? Hint: Look
y = - x + x - at the point (7, 9)
3 3 3 at its graph.
in the following figure?
Solve It
y
30
25
y = 3x - 12
20

15
-1 23 85
y = x + x -
2
10 3 3 3
5
1 x
-5 -1 1 5 10 15 20 25 30
-5
-10

-15

Solve It