Final answer to the problem
Step-by-step Solution
Specify the solving method
The logarithm of a quotient is equal to the logarithm of the numerator minus the logarithm of the denominator
Learn how to solve logarithmic differentiation problems step by step online.
$\frac{d}{dx}\left(\ln\left(x+3\right)-\ln\left(\left(x+1\right)^2\right)\right)$
Learn how to solve logarithmic differentiation problems step by step online. Find the derivative using logarithmic differentiation method d/dx(ln((x+3)/((x+1)^2))). The logarithm of a quotient is equal to the logarithm of the numerator minus the logarithm of the denominator. 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. The derivative of a function multiplied by a constant is equal to the constant times the derivative of the function.