# Step-by-step Solution

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## Step-by-step explanation

Problem to solve:

$\frac{d}{dx}\left(2x-1\cdot 4\cdot \ln\left(x+2\right)\right)$

Learn how to solve sum rule of differentiation problems step by step online.

$\frac{d}{dx}\left(2x\right)+\frac{d}{dx}\left(-4\ln\left(x+2\right)\right)$

Learn how to solve sum rule of differentiation problems step by step online. Find the derivative (d/dx)(2x-*4*ln(x+2)) using the sum rule. The derivative of a sum of two functions is the sum of the derivatives of each function. The derivative of the linear function times a constant, is equal to the constant. The derivative of a function multiplied by a constant (-4) 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}.

$2+\frac{-4}{x+2}$
$\frac{d}{dx}\left(2x-1\cdot 4\cdot \ln\left(x+2\right)\right)$