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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.
$\frac{d}{dx}\left(e^{\frac{-x}{y}}\right)+\frac{d}{dx}\left(\ln\left(\frac{y}{x}\right)\right)$
Learn how to solve sum rule of differentiation problems step by step online. Find the derivative d/dx(e^((-x)/y)+ln(y/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 natural logarithm of a function is equal to the derivative of the function divided by that function. If f(x)=ln\:a (where a is a function of x), then \displaystyle f'(x)=\frac{a'}{a}. Divide fractions \frac{1}{\frac{y}{x}} with Keep, Change, Flip: a\div \frac{b}{c}=\frac{a}{1}\div\frac{b}{c}=\frac{a}{1}\times\frac{c}{b}=\frac{a\cdot c}{b}. Applying the derivative of the exponential function.