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$\frac{d}{dx}\left(\frac{1}{e^{3}}x\sin\left(e^{-1}x\right)\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative of e^(-3)xsin(e^(-1)x). Simplifying. The derivative of a function multiplied by a constant 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=. The derivative of the linear function is equal to 1.