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