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Topic: differentiation quesiton  (Read 2638 times)

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Offline AlIXe

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differentiation quesiton
« on: November 14, 2007, 01:26:13 PM »
hi

can anyone please do a step by step differentiation to get the second derivative of (Ive searched online and cannot find the answer):

y = Ae^(2Bx^2)   please

thanks very much

Offline sjb

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Re: differentiation quesiton
« Reply #1 on: November 14, 2007, 05:22:57 PM »
This may be better in Other Sciences Question Forum > Math Forum, but that's not for me to say, so I'll let admins move it if they deem appropriate.


hi

can anyone please do a step by step differentiation to get the second derivative of (Ive searched online and cannot find the answer):

y = Ae^(2Bx^2)   please

thanks very much

For any function y = ef(x), dy/dx = f'(x)ef(x).

I'm not sure if A and B in your equation are constants - but if they are, and you're differentiating wrt x.

dy/dx = 4ABx . e2Bx2


(the period in the middle just means multiply, and is to avoid confusion between x meaning multiply and x your variable). Can you now see how to get d2y/dx2 ?

S

(edit to make clearer, looked ok on preview, but line spacing screwed up on actual post)
« Last Edit: November 15, 2007, 05:31:26 AM by sjb »

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