Calculus question: Solving for X
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Calculus question: Solving for X

[From: ] [author: ] [Date: 11-11-22] [Hit: ]
Once |x| is larger than, say, 2, the exponential term completely swamps the linear term,±√(½ ln y) = x-You must give a number for y .- Then apply a numerical Method like Newton-Rahpson to know x.......
I can't figure out this one...any help is greatly appreciated :)
What is x if y = e^(2x^2) + 2x?
thanks!

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I don't think it can be done algebraically. Once |x| is larger than, say, 2, the exponential term completely swamps the linear term, so you could drop the linear term and solve approximately for x:

y = e^(2x^2)
ln(y) = 2x^2
½ ln y = x^2
±√(½ ln y) = x

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You must give a number for y .- Then apply a numerical Method like Newton-Rahpson to know x.-
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