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Step-by-step Solution
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Apply the product rule for differentiation: $(f\cdot g)'=f'\cdot g+f\cdot g'$, where $f=x^2$ and $g=2x^3+\frac{-3}{4x^2}$
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$\frac{d}{dx}\left(x^2\right)\left(2x^3+\frac{-3}{4x^2}\right)+x^2\frac{d}{dx}\left(2x^3+\frac{-3}{4x^2}\right)$
Learn how to solve problems step by step online. Find the derivative of x^2(2x^3+-3/(4x^2)). Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=x^2 and g=2x^3+\frac{-3}{4x^2}. The power rule for differentiation states that if n is a real number and f(x) = x^n, then f'(x) = nx^{n-1}. The derivative of a sum of two or more functions is the sum of the derivatives of each function. The derivative of a function multiplied by a constant (2) is equal to the constant times the derivative of the function.