Final answer to the problem
Step-by-step Solution
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- Choose an option
- Find the derivative using the definition
- Find the derivative using the product rule
- Find the derivative using the quotient rule
- Find the derivative using logarithmic differentiation
- Find the derivative
- Integrate by partial fractions
- Product of Binomials with Common Term
- FOIL Method
- Integrate by substitution
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Apply the product rule for differentiation: $(f\cdot g)'=f'\cdot g+f\cdot g'$, where $f=\left(3x+4\right)^5$ and $g=\left(9x-1\right)^9\left(10x+2\right)^3$
Learn how to solve differential calculus problems step by step online.
$\frac{d}{dx}\left(\left(3x+4\right)^5\right)\left(9x-1\right)^9\left(10x+2\right)^3+\left(3x+4\right)^5\frac{d}{dx}\left(\left(9x-1\right)^9\left(10x+2\right)^3\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative of (3x+4)^5(9x-1)^9(10x+2)^3. Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=\left(3x+4\right)^5 and g=\left(9x-1\right)^9\left(10x+2\right)^3. Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=\left(9x-1\right)^9 and g=\left(10x+2\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}.
