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The derivative of a function multiplied by a constant ($2$) is equal to the constant times the derivative of the function
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$2\frac{d}{dx}\left(\log_{3}\left(x\right)-3\ln\left(x\right)\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative of 2(log3(x)-3ln(x)). The derivative of a function multiplied by a constant (2) is equal to the constant times the derivative of the function. 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 (-3) 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}.