Find the derivative of e^(2ln(x))
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Find the derivative of e^(2ln(x))

[From: ] [author: ] [Date: 11-05-05] [Hit: ]
2ln(x) = ln(x^2), by the laws of exponents.So,e^[2ln(x)] = e^[ln(x^2)] = x^2.So, the derivative of e^[2ln(x)] is just the derivative of x^2,......
How would you find the derivative of e^2ln(x)?
I'm a little stuck..
Please show working/explain?

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First, simplify e^[2ln(x)] by noting that:
2ln(x) = ln(x^2), by the laws of exponents.

So, we have:
e^[2ln(x)] = e^[ln(x^2)] = x^2.

So, the derivative of e^[2ln(x)] is just the derivative of x^2, which is 2x.

I hope this helps!
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