© Annie Patton Parametric Functions Next Slide

© Annie Patton Aim of Lesson To establish what is a set of Parametric Functions and how to differentiate them. Next Slide

© Annie Patton What is a Parametric Function? If x = f (t) and y = g (t), such that x and y are both expressed in terms of a third variable say t. Then t is called the Parameter. Note t could be replaced by any other variable for example . Example x=3t and y=t 2 Next Slide

© Annie Patton To plot a set of parametric functions x=3t and y=t 2 tx=3ty=t Next Slide

© Annie Patton If x = 3t and y = t 2. Find Next Slide

© Annie Patton Because of the Quotient Rule Next Slide

© Annie Patton Leaving Certificate Higher No 7(b) (ii) Paper Start clicking when you want to see the answer. Next slide

© Annie Patton Leaving Certificate Higher No 7(b) (i) Paper Start clicking when you want to see the answer. Next Slide

© Annie Patton Next Slide Start clicking when you want to see the answer.

© Annie Patton Leaving Certificate Higher No 7(b) Paper Next Slide Start clicking when you want to see the answer.

© Annie Patton Leaving Certificate Higher No 7(b) (1) Paper Next Slide Start clicking when you want to see the answer.

© Annie Patton Continued Leaving Certificate Higher No 7(b) Paper Next Slide Start clicking when you want to see the answer.

© Annie Patton Leaving Certificate Higher No 7(b) Paper Next Slide Start clicking when you want to see the answer.

© Annie Patton Butterfly Function Click to see an interesting parametric Function Next Slide

© Annie Patton Next Slide

© Annie Patton Parametric Functions If x = f (t) and y = g (t), such that x and y are both expressed in terms of a third variable say t. Then it is a parametric Function. The End