
#1
Oct505, 04:44 PM

P: 464

I'm trying to figure out this equation.
[tex] {\Psi} = Ae^{a(bxct)^2} [/tex] I've expanded this to [tex] {\Psi} = Ae^{ab^2x^2abxctac^2t^2} [/tex] When I try to find the derivative I get this [tex] \left(\newcommand {\pd}[3]{ \frac{ \partial^{#3}{#1} }{ \partial {#2}^{#3} } } \pd{\Psi}{t}{}\right)_x = (2ac^2tabxc)Ae^{ab^2x^2abxctac^2t^2} [/tex] I should get this instead [tex] \left(\newcommand {\pd}[3]{ \frac{ \partial^{#3}{#1} }{ \partial {#2}^{#3} } } \pd{\Psi}{t}{}\right)_x = (2abcx2ac^2t)Ae^{ab^2x^2abxctac^2t^2} [/tex] Can anyone tell me where my error is and how I can fix it? 


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