Graphing the Derivative of a Function, Schemes and Mind Maps of Calculus

Directions: Given the function on the left, graph its derivative on the right. Example 1. What if you're not given the equation of the original function?

Typology: Schemes and Mind Maps

2022/2023

Uploaded on 03/01/2023

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Graphing the Derivative of a Function
Warm-up: Part 1 - What comes to mind when you think of the word 'derivative'?
Part 2 - Graph . Then find and graph it.
Graph of
Graph of
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Graphing the Derivative of a Function

Warm-up: Part 1 - What comes to mind when you think of the word 'derivative'?

Part 2 - Graph. Then find and graph it.

Graph of (^) Graph of

Directions: Given the function on the left, graph its derivative on the right.

Example 1

What if you're not given the equation

of the original function?

1) Graph of Graph of

Graph of Graph of

What about these graphs? It would be difficult to come up with the equations. Can you graph their derivatives? http://www.khanacademy.org/math/calculus/e/derivative_intuition At this time, go to this website on your iPads:

Example 3 Directions: Given the function on the left, graph its derivative on the right. Graph of Graph of What do you notice about the graph of when is negative? What do you notice about the graph of when is positive? What do you notice about the graph of when is zero?