AP Calculus

1. Today we went over the last quiz on November 30th
2. We also reviewed problem #15 on page 171 on implicit differentiation
Tan(x) = xy
Take the derivative of both sides and note that you are going to have to use the product rule for taking the derivative of xy
U = x U’= 1 and V = y V’ = y’

3. We also reviewed problem #15 on page 183 on antiderivatives

• If reading about the process is easier for you read the following. If this is not the way you learn please skip to the next thing we did in class (number 4) because reading the following my confuse you!
• In order to find the original function one has to add one to the exponent of the derivative function and then divide the original derivative function by that number (if this wording is too confusing look above- the exponent is 7+1 and then the function is divided by
• You also have to multiply the whole function by ¼ because you are finding the antiderivative and not the derivative so you have to do the reverse of multiplying and divide (clarification: dividing the function by 4 is the same as multiplying by ¼)

4. At the end of class Mrs. Evrard put the following on the board. This may help you with the homework.

here are some good things to know

Here is an example:

• You are going to take the natural log of both sides

This second part is the law of exponents

• Now you take the derivative of both sides

• And solve you y’

5. The homework is read section 6-5 and do problems 1 and 3

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