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The derivative of a sum of two or more functions is the sum of the derivatives of each function
Learn how to solve differential calculus problems step by step online.
$\frac{d}{dx}\left(\frac{1}{2}\sin\left(x\right)\right)+\frac{d}{dx}\left(-\frac{1}{2}\cos\left(x\right)\right)+\frac{d}{dx}\left(e^{-x}\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative using the product rule y=1/2sin(x)-1/2cos(x)e^(-x). The derivative of a sum of two or more functions is the sum of the derivatives of each function. Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g'. The derivative of the constant function (\frac{1}{2}) is equal to zero. The derivative of the constant function (-\frac{1}{2}) is equal to zero.