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  Maths... Lesson 3: Euler's number

Today I continued the section in my maths book on 'The exponential function' with the expression ex. It says:

The most common exponential expression is ex where e is the exponential constant, 2.71828 . . . .

Wikipedia says this:

The number e, known as Euler's number, is a mathematical constant approximately equal to 2.71828
which can be characterized in many ways. It is the base of the natural logarithm.

Euler is an interesting chap; he also has an asteroid named after him.

Anyway, here is that function on my calculator:

For e2 I do 2 [SHIFT] e2 = 7.389...

I then worked through some examples in my maths book. I got somewhat stumped at trying to simplify these:

e3y(1+ey) - e4y and (2et)2(3e-t)

I then watched this video which I found to be good for understanding e. I followed along and used the Xy button on my calculator.

[Click here to continue]

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