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Learn how to solve sum rule of differentiation problems step by step online.
$\frac{d}{dx}\left(x-\frac{4\sqrt{3}}{3}\arctan\left(\frac{e^x}{\sqrt{3}}\right)\right)$
Learn how to solve sum rule of differentiation problems step by step online. Find the derivative d/dx(x+-4/(3^1/2)arctan((e^x)/(3^1/2))) using the sum rule. Simplifying. 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', where f=-\frac{4\sqrt{3}}{3} and g=\arctan\left(\frac{e^x}{\sqrt{3}}\right). The derivative of the constant function (-\frac{4\sqrt{3}}{3}) is equal to zero.