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Exponential Function Next slide © Annie Patton.

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Presentation on theme: "Exponential Function Next slide © Annie Patton."— Presentation transcript:

1 Exponential Function Next slide © Annie Patton

2 To examine, what is meant by an Exponential Function.
Aim of Lesson To examine, what is meant by an Exponential Function. To introduce the special Exponential Function e. To see how to differentiate functions that involve the Exponential Function e. Next slide © Annie Patton

3 Notice x3 is very different to 3x
What is an Exponential function? Notice x3 is very different to 3x A function of the type 3x in which the variable is the index, is called an Exponential Function. Next slide © Annie Patton

4 The Exponential Function e
y=ex We are now going to be introduced to a special exponential function y=ex, where e= 8 y 7 6 5 4 3 2 1 x -6 -4 -2 2 4 6 Next slide © Annie Patton

5 Why the interest in this function y=ex?
8 y 7 6 5 4 3 2 1 x -6 -4 -2 2 4 6 Next slide © Annie Patton

6 Next slide © Annie Patton

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

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

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

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

11 Next slide © Annie Patton

12 Why the interest in this function y=ex?
8 y 7 6 5 4 3 2 The End 1 x -6 -4 -2 2 4 6 © Annie Patton


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