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Simplify the derivative by applying the properties of logarithms
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$\frac{d}{dx}\left(10^{\frac{1}{2}x}+\frac{e^{-x}}{x}-e\right)$
Learn how to solve problems step by step online. Find the derivative d/dx(10^x^1/2+(e^(-x))/x+-e) using the sum rule. Simplify the derivative by applying the properties of logarithms. Applying the property of exponents, \displaystyle a^{-n}=\frac{1}{a^n}, where n is a number. The derivative of a sum of two or more functions is the sum of the derivatives of each function. The derivative of the constant function (-e) is equal to zero.