The Slope of a Line
The Slope of a Line
The Slope of a Line
The Slope of a Line
The Slope of a Line
The Slope of a Line
The Slope of a Line
The Slope of a Line
The Slope of a Line m = ∆ y ∆ x
The Slope of a Line m = ∆ y ∆ x ∆ x = b − a
The Slope of a Line m = ∆ y ∆ x ∆ x = b − a ∆ y = f ( b ) − f ( a )
The Slope of a Line m = f ( b ) − f ( a ) b − a
The Slope of a Line m = f ( b ) − f ( a ) b − a
The Slope of a Curve
The Slope of a Curve
The Slope of a Curve
The Slope of a Curve
The Slope of a Curve
The Slope of a Curve
The Slope of a Curve
The Slope of a Curve
The Slope of a Curve
The Slope of a Curve
The Slope of a Curve ∆ y ∆ x =
The Slope of a Curve ∆ y ∆ x = f ( x 0 + ∆ x ) − f ( x 0 ) ∆ x
Taking the Limit Now, we are going to take the limit as ∆ x → 0:
Taking the Limit Now, we are going to take the limit as ∆ x → 0:
Taking the Limit Now, we are going to take the limit as ∆ x → 0:
Taking the Limit Now, we are going to take the limit as ∆ x → 0:
Taking the Limit Now, we are going to take the limit as ∆ x → 0:
Taking the Limit Now, we are going to take the limit as ∆ x → 0:
Taking the Limit Now, we are going to take the limit as ∆ x → 0: And we define:
Taking the Limit Now, we are going to take the limit as ∆ x → 0: And we define: f ′ ( x 0 ) =
Taking the Limit Now, we are going to take the limit as ∆ x → 0: And we define: f ( x 0 + ∆ x ) − f ( x 0 ) f ′ ( x 0 ) = lim ∆ x ∆ x → 0
Taking the Limit Now, we are going to take the limit as ∆ x → 0: And we define: f ( x 0 + ∆ x ) − f ( x 0 ) f ′ ( x 0 ) = lim ∆ x ∆ x → 0
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