Derivada de 1/x^10
Answer
-10*x^(-11)
Derivative of 1/x^10
- Rule Used
- Quotient Rule
- Steps
- Identify a quotient in 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: -
La derivada de 1/x^10 es -10*x^(-11).
Solución paso a paso instantánea para 1/x^10
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Derivative of 1/x^10 = -10*x^(-11) Solve step-by-step for free: https://derivativecalculatorai.com/es/derivative-of-1-minus-over-minus-x-minus-to-minus-the-minus-10
Cómo encontrar la derivada de 1/x^10
Para encontrar la derivada de 1/x^10, 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^10?▼
The derivative of 1/x^10 is -10*x^(-11).
How do you find the derivative of 1/x^10?▼
Apply the standard differentiation rules — the key rule used here is the Quotient Rule. The step-by-step result is -10*x^(-11).
Why is the derivative of 1/x^10 equal to -10*x^(-11)?▼
Because differentiation measures how a function changes — applying the rules to 1/x^10 yields -10*x^(-11). See the full step-by-step breakdown above.