Final answer to the problem
$\frac{4\left(x^2+1\right)^2-4\left(2x\left(x^2+1\right)-2\left(x^2-1\right)x\right)\left(x^2+1\right)x}{\left(x^2+1\right)^{4}}$
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Step-by-step Solution
How should I solve this problem?
- Factor by completing the square
- 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
Find the ($1$) derivative
$\frac{2x\left(x^2+1\right)-2\left(x^2-1\right)x}{\left(x^2+1\right)^2}$
2
Find the ($2$) derivative
$\frac{4\left(x^2+1\right)^2-4\left(2x\left(x^2+1\right)-2\left(x^2-1\right)x\right)\left(x^2+1\right)x}{\left(x^2+1\right)^{4}}$
Final answer to the problem
$\frac{4\left(x^2+1\right)^2-4\left(2x\left(x^2+1\right)-2\left(x^2-1\right)x\right)\left(x^2+1\right)x}{\left(x^2+1\right)^{4}}$