Further+Calculus

**__ Lesson 1 - The Product Rule __** Listen to this song about calculus as a class. Calculus Open this file and save it to your laptop for the lesson notes on Exercise 12.1
 * __Further Calculus __** This unit focuses on using general rules for differentiation. The rules include the derivative of the product of two functions, the derivative of the quotient of two functions, the derivative of a function raised to a power and derivatives involving radicals.

Here is an example which uses the product rule. media type="custom" key="11247458" align="center"

**__Lesson 2 - The Quotient Rule __** Here is a song about the quotient rule. media type="custom" key="11248174" align="center"

Open this file and save it to your laptop for the lesson notes on Exercise 12.2

Here is another song about the quotient rule. media type="custom" key="11248190" align="center"

**__Lesson 3 - Function of a Function (Chain Rule) __** Here is a song about the quotient rule. media type="youtube" key="ej60OSOyfF0?rel=0" height="360" width="640" align="center"

Open this file and save it to your laptop for the lesson notes on Exercise 12.3

Here is a demonstration on how to NOT to use the quotient rule. media type="youtube" key="FEDWhsc3aBo?rel=0" height="360" width="480" align="center"

__**Lesson 4 - Derivatives With Fractional Indices **__ <span style="display: block; font-family: 'Comic Sans MS',cursive; font-size: 150%; text-align: center;">Here is a video demonstrating the chain rule. media type="custom" key="11437938" align="center"

<span style="display: block; font-family: 'Comic Sans MS',cursive; font-size: 150%; text-align: center;">Open this file and save it to your laptop for the lesson notes on Exercise 12.4

<span style="display: block; font-family: 'Comic Sans MS',cursive; font-size: 150%; text-align: center;">Here are other video demonstrations using the quotient and chain rules. <span style="display: block; font-family: 'Comic Sans MS',cursive; font-size: 150%; text-align: center;">Quotient Rule media type="youtube" key="C5aEbEPt_ig?rel=0" height="360" width="480" align="center"

**__<span style="font-family: 'Comic Sans MS',cursive; font-size: 150%;">Lesson 5 - Chain Rule with Fractional Indices __** <span style="display: block; font-family: 'Comic Sans MS',cursive; font-size: 150%; text-align: center;">Here is a video with questions involving product rule, chain rule and factoring. media type="youtube" key="cngzQ5xIOBY?rel=0" height="360" width="480" align="center"

<span style="display: block; font-family: 'Comic Sans MS',cursive; font-size: 150%; text-align: center;">Open this file and save it to your laptop for the lesson notes on Exercise 12.5

<span style="display: block; font-family: 'Comic Sans MS',cursive; font-size: 150%; text-align: center;">Watch these videos for tutorials on the various differentiation methods. <span style="display: block; font-family: 'Comic Sans MS',cursive; font-size: 150%; text-align: center;">Product and Quotient Rules <span style="display: block; font-family: 'Comic Sans MS',cursive; font-size: 150%; text-align: center;">Differentiation Methods **__<span style="font-family: 'Comic Sans MS',cursive; font-size: 150%;">Lesson 6 - Miscellaneous Examples __** <span style="display: block; font-family: 'Comic Sans MS',cursive; font-size: 150%; text-align: center;">Watch these tutorials about the differentiation laws. <span style="display: block; font-family: 'Comic Sans MS',cursive; font-size: 150%; text-align: center;">Basic Differentiation <span style="display: block; font-family: 'Comic Sans MS',cursive; font-size: 150%; text-align: center;">Differentiation Laws <span style="display: block; font-family: 'Comic Sans MS',cursive; font-size: 150%; text-align: center;">Open this file and save it to your laptop for the lesson notes on Exercise 12.6 <span style="display: block; font-family: 'Comic Sans MS',cursive; font-size: 150%; text-align: center;"> <span style="display: block; font-family: 'Comic Sans MS',cursive; font-size: 150%; text-align: center;">Here is another differentiation tutorial from MathsOnline. <span style="display: block; font-family: 'Comic Sans MS',cursive; font-size: 150%; text-align: center;">Further Differentiation