1. Show that the derivative of f (x) = mx + b is f ′ (x) = m.
Rogawski Calculus
Copyright © 2008 W. H. Freeman and Company

2. Show that the derivative of f (x) = mx + b is f ′ (x) = m.
Rogawski Calculus
Copyright © 2008 W. H. Freeman and Company

3. Show that the derivative of f (x) = b is f ′ (x) = 0.
Rogawski Calculus
Copyright © 2008 W. H. Freeman and Company

4. Show that the derivative of f (x) = b is f ′ (x) = 0.
Rogawski Calculus
Copyright © 2008 W. H. Freeman and Company

5. Rogawski Calculus
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6. Example, Page 124 10. Estimate f ′(2). Rogawski Calculus
Copyright © 2008 W. H. Freeman and Company

7. Example, Page 124 10. Estimate f ′(2). Rogawski Calculus
Copyright © 2008 W. H. Freeman and Company

8. Rogawski Calculus
Copyright © 2008 W. H. Freeman and Company

9. Rogawski Calculus
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10. Rogawski Calculus
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11. Example, Page 124
Compute the derivative at x = a using the limit definition and find an equation of the tangent line. 28. f (t) = 3t3 + 2t, a = 4
Rogawski Calculus
Copyright © 2008 W. H. Freeman and Company

12. Example, Page 124
Compute the derivative at x = a using the limit definition and find an equation of the tangent line. 28. f (t) = 3t3 + 2t, a = 4
Rogawski Calculus
Copyright © 2008 W. H. Freeman and Company

13. Example, Page 124
Compute the derivative at x = a using the limit definition and find an equation of the tangent line. 36.
Rogawski Calculus
Copyright © 2008 W. H. Freeman and Company

14. Example, Page 124
Compute the derivative at x = a using the limit definition and find an equation of the tangent line. 36.
Rogawski Calculus
Copyright © 2008 W. H. Freeman and Company

15. Now do Classwork - WS 3.1.pdf Rogawski Calculus
Copyright © 2008 W. H. Freeman and Company