Lesson+Summaries+for+Trig+Derivatives

Overview: Today in class was Heather's day to teach. We started off class with a graph that had both a sine function and a cosine function graphed on the same axis. It was our task to come up with everything we could think of that had to do with the sine or cosine functions. After that in our table groups we received an envelope filled with functions and their derivatives and we had to determine which graphs belonged together. Once that was over we looked at the graph of the sine function and had to determine what its derivative looked like. Notes: Where is the instantaneous rate of change: Zero? Increasing? Decreasing? Highest? Lowest?
 * April 4th 2011**
 * Julia Csath**
 * Topic: The derivative of the Sine function**

__Instantaneous rate of change __............................................................................ f(x)= sin x


 * 0 - π/2 || decreasing ||
 * π /2 || 0 ||
 * π/2 - π || decreasing ||
 * π || lowest ||
 * π - 3π/2 || increasing ||
 * 3π/2 || 0 ||
 * 3π/2 - 2π || increasing ||
 * 2π || highest ||

f ' (x)= cos x




 * the derivative of the sine function is the cosine function*

Homework: Work on the derivatives of trig functions worksheet.

Overview: Today in class we presented our proposals for the construction company’s assignment. They were all very entertaining and I believed aided in the discussion as to whether or not to take the contract.
 * April 6th 2011 **
 * Julia Csath **
 * Topic: Presentations of Construction Company Proposals **

Homework: Continue to work on the derivatives of trig functions worksheet.


 * __Other Trig Derivatives__**
 * Emily Brant**
 * April 8,2011**

1. Determine __d(tanx)__ dx
 * rewrite to

y=__sinx__ cosx

y’=__(cosx)(cosx)-(-sinx)(sinx)__ cos2x
 * solve for the derivative

y’=__cos2x+sin2x__ cos2x

y’= __1__ cos2x


 * y’=sec2x**

2. Determine __d(cotx)__ dx y=__cosx__ sinx
 * rewrite as

y’=__(-sinx)(sinx)-(cosx)(cosx)__ sin2x
 * solve for the derivative

y’=__-sin2x-cos2x__ sin2x

y’= __1__ sin2x


 * y’=-csc2x**

3. Determine __d(secx)__ dx
 * rewrite as

y= __1__ cosx


 * solve for derivative

y’=__(0)(cosx)-(1)(-sinx)__ cos2x y’= __sinx__ cos2x


 * Break that up to:

__sinx__. __1__ cosx cosx


 * that equals


 * y’=tanxsecx**

4. Determine __d(cscx)__ dx


 * rewrite as

y= __1__ sinx


 * solve for derivative

y’=__(0)(sinx)-(1)(cosx)__ sin2x y’=__-cosx__ sin2x


 * break that up into:

__-cosx__. __1__ sinx sinx


 * which equals


 * y’=-cotxcscx**

**Gurpriya Kaberwal ** **April 11, 2011 ** **Applications of Trig functions ** Today in class, we did some group work even though it wasn’t a Tuesday. We started off by getting into groups of 4-5. Then we were asked to work within our groups and sort out several pieces with equations of trig functions on them and then further divide them two more times to end with three sets of functions. Each group then presented the ideas and strategies they used to sort the functions out. For example, some groups sorted the functions by checking if the functions were sine or cosine, whether the functions were solvable using the chain rule, what kind of transformations they had, etc. **Problem solving strategies:**  · List our givens  · Draw a picture/diagram/sketch  · Come up with function/equation  · Find max/min points, inc/dec intervals, inflection points  · Use the first and second derivative tests *(make sure the values are in the interval)  · <span style="font-family: 'Times New Roman','serif';">Check if the answer makes sense

<span style="font-family: 'Times New Roman','serif';">After figuring out these above mentioned strategies to solve questions involving trig functions and derivatives, we solved some examples together as a class ( on the handout “applications of trig derivatives”).

**<span style="font-family: 'Times New Roman',serif;">Home work: **<span style="font-family: 'Times New Roman','serif';"> question # 3 (back of the handout)

**<span style="font-family: 'Times New Roman',serif;">Useful links: ** <span style="display: block; line-height: normal; margin: 0cm 0cm 0pt 36pt; text-align: justify; text-indent: -18pt;"> · **<span style="font-family: 'Times New Roman',serif;">[] ** **Work Period** **Connor Dorval** **April 12, 2011**

Today was a work period in preparation for the upcoming test. The homework includes the Derivatives of Trig Functions worksheet and the Review/Practice Test booklet.

Useful Resources: Summary of Trig Derivatives- [] A walkthrough of several examples- [] A...differerent...way of explaining examples- []

** Talha Sadiq ** ** Work Period **
 * April 13, 2011 **

Today was a work period and so we got a chance to work on the review package and the practice test for Chapter 4. We also got a chance to study for the upcoming test and ask Gillian for help. Test (quest) on Chapter 4: Derivatives of Sinusoidal Functions is on __**Friday, April 15, 2011**__. Here are some links that would help you review for the test! Good Luck!

[] [] []

Complete the review package & practice test! Study hard for the test this Friday!
 * Homework: **

//**Math Quest Today**// on Chapter 4: Derivatives of Sinusoidal Functions!
Upcoming Monday we start Exponential and Logarithmic functions. Keeping reviewing!