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The derivative of a function multiplied by a constant ($-1$) is equal to the constant times the derivative of the function
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$-\frac{d}{dx}\left(xe^{\frac{-x^2}{2}}\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative of -xe^((-x^2)/2). The derivative of a function multiplied by a constant (-1) is equal to the constant times the derivative of the function. Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=x and g=e^{\frac{-x^2}{2}}. The derivative of the linear function is equal to 1. Applying the derivative of the exponential function.