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Combine $x^2\left(x^2+2x+3\right)+\frac{-1}{x^2+2x+3}$ in a single fraction
Learn how to solve limits by direct substitution problems step by step online.
$\frac{d}{dx}\left(\frac{3}{\frac{-1+\left(x^2+2x+3\right)^2x^2}{x^2+2x+3}}\right)$
Learn how to solve limits by direct substitution problems step by step online. Find the derivative of 3/(x^2(x^2+2x+3)+-1/(x^2+2x+3)). Combine x^2\left(x^2+2x+3\right)+\frac{-1}{x^2+2x+3} in a single fraction. Divide fractions \frac{3}{\frac{-1+\left(x^2+2x+3\right)^2x^2}{x^2+2x+3}} with Keep, Change, Flip: a\div \frac{b}{c}=\frac{a}{1}\div\frac{b}{c}=\frac{a}{1}\times\frac{c}{b}=\frac{a\cdot c}{b}. Apply the quotient rule for differentiation, which states that if f(x) and g(x) are functions and h(x) is the function defined by {\displaystyle h(x) = \frac{f(x)}{g(x)}}, where {g(x) \neq 0}, then {\displaystyle h'(x) = \frac{f'(x) \cdot g(x) - g'(x) \cdot f(x)}{g(x)^2}}. The derivative of a function multiplied by a constant is equal to the constant times the derivative of the function.