Exponential Function Next slide © Annie Patton.

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Exponential Function Next slide © Annie Patton

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

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

The Exponential Function e y=ex We are now going to be introduced to a special exponential function y=ex, where e=2.71828. 8 y 7 6 5 4 3 2 1 x -6 -4 -2 2 4 6 Next slide © Annie Patton

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

Next slide © Annie Patton

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

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

Continued © Annie Patton Leaving Certificate Higher No 7(c) Paper 1 2004 Start clicking when you want to see the answer. Continued © Annie Patton

Next slide © Annie Patton Leaving Certificate Higher No 7(b) Paper 1 2004 Start clicking when you want to see the answer. Next slide © Annie Patton

Next slide © Annie Patton

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