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Simplify the derivative by applying the properties of logarithms
Learn how to solve differential calculus problems step by step online.
$\frac{d}{dx}\left(-\ln\left(2x^3\right)\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative using logarithmic differentiation method ln(1/(2x^3)). Simplify the derivative by applying the properties of logarithms. Applying the product rule for logarithms: \log_b\left(MN\right)=\log_b\left(M\right)+\log_b\left(N\right). Using the power rule of logarithms: \log_a(x^n)=n\cdot\log_a(x). The derivative of a function multiplied by a constant is equal to the constant times the derivative of the function.