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