Final answer to the problem
$\frac{1+3x}{1+2x+2x^{2}}$
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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
Taking the derivative of arctangent
Learn how to solve sum rule of differentiation problems step by step online.
$\frac{1}{1+\left(1+2x+3x^2\right)^2}\frac{d}{dx}\left(1+2x+3x^2\right)$
Learn how to solve sum rule of differentiation problems step by step online. Find the derivative of arctan(1+2x3x^2). Taking the derivative of arctangent. 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
$\frac{1+3x}{1+2x+2x^{2}}$
