MAC301

=**DIFFERENTIATION 3.1**=
 * Differentiaton on Studyit**

** New Skills: **
>
 * **Chain rule** (for composite functions: differentiate wrt the bracket, multiply by the inner function unchanged)
 * **Product rule** ( y=fg y'=f'g+g'f)
 * **Quotient rule** (for fractions: y=f/g y'=(f'g-g'f)/g^2)
 * Differentiating:
 * **Exponential functions**
 * **Natural Logarithms**
 * **Trig functions**



>>
 * Finding equations of **tangents and normals:**Remember you need a point & a gradient, then use y-y1=m(x-x1)
 * ex. 12.1 p.135
 * Refer to the formula sheet if/when required:

Implicit Differentiation:

 * This is a good video explaining the technique: Implicit Differentiation
 * Notes
 * Read p.137, 138 of your textbook
 * Complete Ex 13.1p.139 #1-4

Kinematics
>
 * Ex. 11.4 p.130,131

Finding Stationary Points & Determining their Nature

 * Stationary points occur when f'(x)=0
 * Stationary Points Notes
 * Explanatory video

Optimisation
> (this is really just finding stationary points again, but in context) > >
 * Minimum & maximum points occur when f'(x)=0
 * [[file:21.02.2011 Optimisation.pptx]]
 * Ex 11.2p.121
 * Ex11.3 p. 124 (choose a selection)

Related Rates of Change
= = = Revision = Extra Revision = = Random related links: = = = =
 * I will derive song
 * Calculus Rhapsody