 # Every slope is a derivative. Velocity = slope of the tangent line to a position vs. time graph Acceleration = slope of the velocity vs. time graph How.

## Presentation on theme: "Every slope is a derivative. Velocity = slope of the tangent line to a position vs. time graph Acceleration = slope of the velocity vs. time graph How."— Presentation transcript:

Every slope is a derivative. Velocity = slope of the tangent line to a position vs. time graph Acceleration = slope of the velocity vs. time graph How then can we move up the stack of graphs?

But

What if the graph is Increase the # of rectangles Fill the area with rectangles

What if the graph is Increase the # of rectangles Fill the area with rectangles

Definite Integral – the area under the curve between definite limits Upper limit Lower limit

Differentiation Formula Integration Formula Power Rule Let a, b, g, e, m, and n be constants.

Differentiation Formula Integration Formula Let a, b, g, e, m, and n be constants.

Sum or Difference Differentiation Formula Integration Formula Let a, b, g, e, m, and n be constants.

0 12 3 4 2 4 6 8 10 12 14 16 18 Method 1

Method 2 0 12 3 4 2 4 6 8 10 12 14 16 18

0 12 3 4 2 4 6 8 10 12 14 16 18 Method 1

Method 2 0 12 3 4 2 4 6 8 10 12 14 16 18

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