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 integral calculus problems step by step online.
$\frac{d}{dx}\left(\ln\left(x+9\right)-\ln\left(x\cos\left(x\right)\right)\right)$
Learn how to solve integral calculus problems step by step online. Find the derivative using logarithmic differentiation method d/dx(ln((x+9)/(xcos(x)))). The logarithm of a quotient is equal to the logarithm of the numerator minus the logarithm of the denominator. Applying the product rule for logarithms: \log_b\left(MN\right)=\log_b\left(M\right)+\log_b\left(N\right). Simplify the product -(\ln\left(x\right)+\ln\left(\cos\left(x\right)\right)). The derivative of a sum of two or more functions is the sum of the derivatives of each function.