Final Answer
Step-by-step Solution
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Simplify the derivative by applying the properties of logarithms
Learn how to solve logarithmic differentiation problems step by step online.
$\frac{d}{dx}\left(e^{-x}\cos\left(x\right)+x\ln\left(x\right)\right)$
Learn how to solve logarithmic differentiation problems step by step online. Find the derivative using logarithmic differentiation method d/dx(e^(-x)cos(x)+1xln(x)). Simplify the derivative by applying the properties of logarithms. The derivative of a sum of two or more functions is the sum of the derivatives of each function. Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g'. The derivative of the linear function is equal to 1.