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Apply the product rule for differentiation: $(f\cdot g)'=f'\cdot g+f\cdot g'$, where $f=
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$\frac{d}{dx}\left(5\right)\tan\left(x\right)+5\frac{d}{dx}\left(\tan\left(x\right)\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative using the product rule y=5tan(x). Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=. 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.