This occurs when the derivative of the potential energy with respect to position \( x \) is zero.
First, we calculate the derivative of \( U(x) \):
\[
U(x) = (5J)e^x + (2J)e^{-3x}
\]
Taking the derivative:
\[
\frac{dU}{dx} = 5e^x - 6e^{-3x}
\]
Now, we set
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