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