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The derivative of a sum of two or more functions is the sum of the derivatives of each function
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$\frac{d}{dx}\left(\log_{4}\left(x\right)\right)+\frac{d}{dx}\left(-3\log_{4}\left(y\right)\right)+\frac{d}{dx}\left(-\log_{4}\left(z\right)\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative of log4(x)-3log4(y)-log4(z). 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 (-\log_{4}\left(z\right)) is equal to zero. The derivative of a function multiplied by a constant is equal to the constant times the derivative of the function. We can find the derivative of a logarithm of any base using the change of base formula. Before deriving, we must pass the logarithm to base e: \log_b(a)=\frac{\log_x(a)}{\log_x(b)}.