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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.
$\frac{d}{dx}\left(xe^{\left(3x-5\right)}\right)+\frac{d}{dx}\left(\ln\left(x-4\right)\right)$
Learn how to solve sum rule of differentiation problems step by step online. Find the derivative d/dx(xe^(3x-5)+ln(x-4)) using the sum rule. 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=x and g=e^{\left(3x-5\right)}. The derivative of the linear function is equal to 1. 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}.