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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 sum rule of differentiation problems step by step online.
$\frac{d}{dx}\left(\ln\left(y\right)\right)+\frac{d}{dx}\left(\frac{x}{y}\right)$
Learn how to solve sum rule of differentiation problems step by step online. Find the derivative d/dx(ln(y)+x/y) 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 constant function (\ln\left(y\right)) is equal to zero. The derivative of a function multiplied by a constant (\frac{1}{y}) is equal to the constant times the derivative of the function. The derivative of the linear function is equal to 1.