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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 logarithmic differentiation problems step by step online.
$\frac{d}{dx}\left(y^2e^x+\ln\left(x\right)+\ln\left(y\right)\right)$
Learn how to solve logarithmic differentiation problems step by step online. Find the derivative using logarithmic differentiation method d/dx(y^2e^x+ln(xy)). Applying the product rule for logarithms: \log_b\left(MN\right)=\log_b\left(M\right)+\log_b\left(N\right). 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 (\ln\left(y\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.