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Applying the product rule for logarithms: $\log_b\left(MN\right)=\log_b\left(M\right)+\log_b\left(N\right)$
Learn how to solve differential calculus problems step by step online.
$\frac{d}{dx}\left(\ln\left(\left(x+6\right)^3\right)+\ln\left(\left(7x-3\right)^4\right)\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative using logarithmic differentiation method ln((x+6)^3(7x-3)^4). 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). Using the power rule of logarithms: \log_a(x^n)=n\cdot\log_a(x). The derivative of a sum of two or more functions is the sum of the derivatives of each function.