Derivada de 1/(x^3+1)
Answer
-3*(1+x^3)^(-2)*x^2
Derivative of 1/(x^3+1)
- Rule Used
- Quotient Rule
- Steps
- Identify a quotient in 1/(+1): use the quotient rule (u/v)' = (u'v − uv')/v². The minus sign belongs to the derivative of the denominator; swapping it is the usual error.
- Differentiate numerator and denominator, then combine.
- Final answer: -3*(1+)^(-2)*
La derivada de 1/(x^3+1) es -3*(1+x^3)^(-2)*x^2.
Solución paso a paso instantánea para 1/(x^3+1)
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Derivative of 1/(x^3+1) = -3*(1+x^3)^(-2)*x^2 Solve step-by-step for free: https://derivativecalculatorai.com/es/derivative-of-1-minus-over-minus-x-minus-to-minus-the-minus-3-minus-plus-minus-1
Cómo encontrar la derivada de 1/(x^3+1)
Para encontrar la derivada de 1/(x^3+1), usamos reglas de diferenciación estándar. Nuestra calculadora con IA desglosa los pasos y explica la lógica.
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Frequently Asked Questions
What is the derivative of 1/(x^3+1)?▼
The derivative of 1/(x^3+1) is -3*(1+x^3)^(-2)*x^2.
How do you find the derivative of 1/(x^3+1)?▼
Apply the standard differentiation rules — the key rule used here is the Quotient Rule. The step-by-step result is -3*(1+x^3)^(-2)*x^2.
Why is the derivative of 1/(x^3+1) equal to -3*(1+x^3)^(-2)*x^2?▼
Because differentiation measures how a function changes — applying the rules to 1/(x^3+1) yields -3*(1+x^3)^(-2)*x^2. See the full step-by-step breakdown above.