**Chain Rule**

The chain rule is applied to

**composite functions**making them easier to differentiate## Example

Replace the inside function with u and differentiate y in terms of u and u in terms of x

**Product Rule**

This is used when functions are

**multiplied together**## Example

This result can be simplified

**Quotient Rule**

This is used when one function is

**divided by another**## Example

You can use the product rule here if you find it easier but doing the rearranging can be easier with the quotient rule

**Exponential and Natural Log Function**

You need to be able to differentiate the

**exponential and natural log function****Natural Logarithmic function**is

**loge**more commonly written as

**ln**

**Trigonometric Differentiation**

You need to know how to differentiate

**all**the**trig functions**you know from C3You should be able to get tan

Below is how to do it for

*x*, cosec*x*, sec*x*and cot*x*from the differentials of**cos***x*and**sin***x*Below is how to do it for

**tan***x*Your

**and**__Trigonometry__**are incredibly important to learn for this section.**__Trigonometric identities__