Final answer to the problem
$\frac{2x}{1+\left(x^2-7\right)^2}$
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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
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$\frac{1}{1+\left(x^2-7\right)^2}\frac{d}{dx}\left(x^2-7\right)$
Learn how to solve problems step by step online. Find the derivative of arctan(x^2-7). 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 power rule for differentiation states that if n is a real number and f(x) = x^n, then f'(x) = nx^{n-1}. Multiply the fraction by the term .
Final answer to the problem
$\frac{2x}{1+\left(x^2-7\right)^2}$
