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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(\frac{3}{5}\right)x^5+\frac{3}{5}\frac{d}{dx}\left(x^5\right)$
Learn how to solve product rule of differentiation problems step by step online. Find the derivative using the product rule d/dx(3/5x^5). Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=. The derivative of the constant function (\frac{3}{5}) is equal to zero. Any expression multiplied by 0 is equal to 0. x+0=x, where x is any expression.