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Applying the derivative of the exponential function
Learn how to solve differential calculus problems step by step online.
$e^{\frac{x^2}{2}}\frac{d}{dx}\left(\frac{x^2}{2}\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative using the quotient rule d/dx(e^((x^2)/2)). Applying the derivative of the exponential function. The derivative of a function multiplied by a constant (\frac{1}{2}) is equal to the constant times the derivative of the function. Divide 1 by 2. The power rule for differentiation states that if n is a real number and f(x) = x^n, then f'(x) = nx^{n-1}.