1. Chapter 3: Differentiation Section 3.1: Definition of the Derivative
Jon Rogawski Calculus, ET First Edition
Chapter 3: Differentiation
Section 3.1: Definition of the Derivative
Rogawski Calculus
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3. How might we use the slope of the secant line in Figure 1(A) and
limits to find the slope of the tangent line in Figure 1(B)?
Rogawski Calculus
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4. Figure 2 illustrates how the slope of the secant line PQ approaches
the slope of the tangent line as Q approaches P.
Rogawski Calculus
Copyright © 2008 W. H. Freeman and Company

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7. Example, Page 124
Compute f ′(a) in two ways, using Equations (1) and (2). 3. f (x) = x2 + 9x, a = 0
Rogawski Calculus
Copyright © 2008 W. H. Freeman and Company

8. Example, Page 124
Compute f ′(a) in two ways, using Equations (1) and (2). 3. f (x) = x2 + 9x, a = 0
Rogawski Calculus
Copyright © 2008 W. H. Freeman and Company

9. Rogawski Calculus
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10. Find the equation of the tangent line to y = x2 at x = 5.
Rogawski Calculus
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11. Find the equation of the tangent line to y = x–1 at x = 2.
Rogawski Calculus
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12. Rogawski Calculus
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