- #1
dawozel
- 17
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Homework Statement
ψ2 = A(2αx2- 1)e-αx2/2
First, calculate dψ2/dx, using A for A, x for x, and a for α.
Second, calculate d2ψ2/dx2.
3. The Attempt at a Solution
so I got the first derivative correct, it was
A((4*a*x)*exp((-a*x^2)/2) +(2*a*x^2 -1)*(-a*x*exp((-a*x^2)/2)))
but i can seem to calculate the second derivative correctly I'm getting
A((4*a)*(exp((-ax^2)/2)) + (4*a*x)*(-a*x*exp((-ax^2)/2)) +(4*a*x)*(-a*x*exp((-ax^2)/2)) +(2*a*x^2 -1)*(a^2*x^2*exp((-ax^2)/2)))
but this incorrect, am I missing something?
ψ2 = A(2αx2- 1)e-αx2/2
First, calculate dψ2/dx, using A for A, x for x, and a for α.
Second, calculate d2ψ2/dx2.
3. The Attempt at a Solution
so I got the first derivative correct, it was
A((4*a*x)*exp((-a*x^2)/2) +(2*a*x^2 -1)*(-a*x*exp((-a*x^2)/2)))
but i can seem to calculate the second derivative correctly I'm getting
A((4*a)*(exp((-ax^2)/2)) + (4*a*x)*(-a*x*exp((-ax^2)/2)) +(4*a*x)*(-a*x*exp((-ax^2)/2)) +(2*a*x^2 -1)*(a^2*x^2*exp((-ax^2)/2)))
but this incorrect, am I missing something?