Step 1 :Find the derivative of the function using the chain rule: \(\frac{dy}{dx} = -2xe^{-x^2}\)
Step 2 :Find the slope of the tangent line at the point \((5, \frac{1}{e^{25}})\) by plugging in \(x = 5\) into the derivative: \(m = -10e^{-25}\)
Step 3 :Use the point-slope form of a line to find the equation of the tangent line: \(y - \frac{1}{e^{25}} = -10e^{-25}(x - 5)\)
Step 4 :\(\boxed{y - \frac{1}{e^{25}} = -10e^{-25}(x - 5)}\)