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$\frac{d}{dx}\left(-\ln\left(2x^3\right)\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative of ln(1/(2x^3)). Simplifying. The derivative of a function multiplied by a constant 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}. Multiplying the fraction by -1.