Final Answer
Step-by-step Solution
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Apply the product rule for differentiation: $(f\cdot g)'=f'\cdot g+f\cdot g'$, where $f=2$ and $g=\ln\left(\sin\left(5x\right)\right)$
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$\frac{d}{dx}\left(2\right)\ln\left(\sin\left(5x\right)\right)+2\frac{d}{dx}\left(\ln\left(\sin\left(5x\right)\right)\right)$
Learn how to solve product rule of differentiation problems step by step online. Find the derivative using the product rule d/dx(2ln(sin(5x))). Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=2 and g=\ln\left(\sin\left(5x\right)\right). The derivative of the constant function (2) is equal to zero. Any expression multiplied by 0 is equal to 0. x+0=x, where x is any expression.