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# Why are they equal?? watch

1. In Class yesterday I was doing a bit of differentiating and I realized that

I later that day used graphing software to plot them and saw that they lied on top of each other suggesting that they are equivalent. but I can't see how one would prove it. so far I have written the 2 out in exponential form:

but can't see how one goes to the other. HELP.

P.S. this is not work, this is just to satisfy my curiosity but there is no maths for fun forum I believe.
2. (Original post by Aph)
In Class yesterday I was doing a bit of differentiating and I realized that

I later that day used graphing software to plot them and saw that they lied on top of each other suggesting that they are equivalent. but I can't see how one would prove it. so far I have written the 2 out in exponential form:

but can't see how one goes to the other. HELP.

P.S. this is not work, this is just to satisfy my curiosity but there is no maths for fun forum I believe.
Integrate? Edit: as in return right to the start and integrate.
3. It's because that their derivatives are also equal.
4. (Original post by Aph)
In Class yesterday I was doing a bit of differentiating and I realized that

I later that day used graphing software to plot them and saw that they lied on top of each other suggesting that they are equivalent. but I can't see how one would prove it. so far I have written the 2 out in exponential form:

but can't see how one goes to the other. HELP.

P.S. this is not work, this is just to satisfy my curiosity but there is no maths for fun forum I believe.
If then . Therefore,

Therefore

Now ponder domains and choose the correct branch of the square root, and you're home and dry.

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