Week+of+10.13.11-10.20.11

Part I- Sketching Functions Given Information about the First Derivative
1. Practice sketching //"original"// functions using the packet ( Sketching Functions from Derivatives ) handed out in class. Here's the original: Use your "//f//, //f '//, //f ''// Summary Chart" to help you.

2.Watch the video below about sketching a graph given information about the first derivative: [|Sketching a Graph...]

3. Answer the following questions about the video...: Sketching a Graph Given Information about the First Derivative

4. ...and then complete the following assignment: On a sheet of graph paper, sketch three (3) possible graphs for a function //f// that satisfies the original conditions (about //f '// and //f//) given in the video.

=Part II- Sketching Functions Given the First Derivative //Equation// =

1. Try at least one problems handed out in class (Curve Sketching Using Calculus ).

2. Answer the following question: Reflection about Curve Sketching Using Calculus

=Part III (//Optional)-// More Practice with Differentiation = (//Optional//) Watch the videos below to refresh your memory on //differentiating// functions (i.e. finding derivatives from equations): <span style="font-family: Georgia,serif; font-size: 110%;">[|Derivatives of Power, Polynomial Functions] <span style="font-family: Georgia,serif;">[|Derivatives- Chain Rule] <span style="font-family: Georgia,serif;">[|Derivatives- Product Rule] <span style="font-family: Georgia,serif;">[|Derivatives- Quotient Rule] <span style="font-family: Georgia,serif; font-size: 110%;">You may also find it helpful to use the Derivatives "Cheat Sheet."

<span style="font-family: Georgia,serif; font-size: 110%;">Practice finding derivatives from equations using the packet ( <span style="color: #800080; font-family: Georgia,serif; font-size: 110%;">Differentiation Levels <span style="font-family: Georgia,serif; font-size: 110%;">) handed out in class. <span style="font-family: Georgia,serif; font-size: 110%;">Here's the original document:

<span style="font-family: Georgia,serif; font-size: 110%;">Check your answers using Sketchpad and/or my solutions: <span style="font-family: Georgia,serif; font-size: 110%;">