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