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Simplify the derivative by applying the properties of logarithms
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$\frac{d}{dx}\left(\ln\left(x+8\right)+2\ln\left(x+7\right)\right)$
Learn how to solve sum rule of differentiation problems step by step online. Find the derivative d/dx(ln(x+8)+ln(x+7)ln(x+7)) using the sum rule. Simplify the derivative by applying the properties of logarithms. The derivative of a sum of two or more functions is the sum of the derivatives of each function. The derivative of a function multiplied by a constant (2) is equal to the constant times the derivative of the 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}.