Express $\frac{3x^{2} + 6x + 1}{(x + 1)^{2}(x^{2} + 1)}$ in partial fractions. Hence find the deri

Question

Express $\frac{3x^{2} + 6x + 1}{(x + 1)^{2}(x^{2} + 1)}$ in partial fractions. Hence find the derivative of $\frac{3x^{2} + 6x + 1}{(x + 1)^{2}(x^{2} + 1)}$.

Accepted Answer

$-\dfrac1{(x+1)^2}-\dfrac1{x+1}+\dfrac{x+3}{x^2+1};\quad \dfrac{x+3}{(x+1)^3}+\dfrac{1-6x-x^2}{(x^2+1)^2}$

Polynomials, Cubic Equations and Partial Fractions - Partial Fractions

Polynomials, Cubic Equations and Partial Fractions - Partial Fractions

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