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Apply the product rule for differentiation: $(f\cdot g)'=f'\cdot g+f\cdot g'$, where $f=\left(4x+3\right)^4$ and $g=\left(x+1\right)^3$
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$\frac{d}{dx}\left(\left(4x+3\right)^4\right)\left(x+1\right)^3+\left(4x+3\right)^4\frac{d}{dx}\left(\left(x+1\right)^3\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative of (4x+3)^4(x+1)^3. Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=\left(4x+3\right)^4 and g=\left(x+1\right)^3. 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}. The derivative of a sum of two or more functions is the sum of the derivatives of each function.