Final Answer
Step-by-step Solution
Specify the solving method
Apply the product rule for differentiation: $(f\cdot g)'=f'\cdot g+f\cdot g'$, where $f=5x^2-2x+3$ and $g=x^3\left(x-1\right)^2$
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$\frac{d}{dx}\left(5x^2-2x+3\right)x^3\left(x-1\right)^2+\left(5x^2-2x+3\right)\frac{d}{dx}\left(x^3\left(x-1\right)^2\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative of (5x^2-2x+3)x^3(x-1)^2. Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=5x^2-2x+3 and g=x^3\left(x-1\right)^2. Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=x^3 and g=\left(x-1\right)^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 power rule for differentiation states that if n is a real number and f(x) = x^n, then f'(x) = nx^{n-1}.