Week+09+Oct+13-17

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Monday Oct 13
Chain rule practice was the first thing we did today, trying to write less steps than we did last week. When problems require the use of chain rule and product rule, writing out all steps can be confusing and time consuming. Here are some of the examples we did. media type="custom" key="2126985" Next we were introduced to the quotient rule. Another way to write this rule is shown below. r Now for some practice problems.

Happy Homework everyone!

Tuesday October 14th
Senior students worked on their derivative skills using a [|Quia game]. Enjoy your day off tomorrow!

Thursday October 16th
Class began with the problem of the day. The derivative of cot(x) was the last derivative we needed to complete the derivatives of all trig. functions. We wrote cot(x) in three different forms and selected an appropriate method to find its derivative -csc²(x). For the remaining time, we practiced more derivatives as shown below.

Here is a completed derivatives chart:

Friday October 17th.
Three activities were on the agenda for today. First we had a short quiz on product rule and quotient rule; the questions were similar to finding the derivative of and.

Second task was to work an AP problem from 1997. Final assignment for the day was a worksheet of tangent line problems which was also our homework. Problem 1. Find "k" if the curve y = x² + k is tangent to y = 3x.

Problem 2. Find the x-coordinate of all points on y = 1 - x² at which the tangent line passes through the point (2,0).

Problem 3. Find the values "a" and "b" if the tangent to y = ax² + bx at (1,5) has slope 8.

Problem 4. Find an equation of the tangent line to the curve y = 2x² + 3 that is parallel to 8x - y = 7.

Problem 5. Using calculus, show that there is no line through the point (1,2) that is tangent to the curve y = 4 - x²