Derivada de x^5 - x
Answer
-1+5*x^4
Derivative of x^5 - x
- Rule Used
- Sum Rule
- Steps
- Differentiate -x term by term. The sum rule says the derivative of a sum is the sum of the derivatives, and the derivative of a constant term is 0, so that term disappears.
- Final answer: -1+
La derivada de x^5 - x es -1+5*x^4.
Solución paso a paso instantánea para x^5 - x
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Derivative of x^5 - x = -1+5*x^4 Solve step-by-step for free: https://derivativecalculatorai.com/es/derivative-of-x-minus-to-minus-the-minus-5-minus-minus-minus-x
Cómo encontrar la derivada de x^5 - x
Para encontrar la derivada de x^5 - x, 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 x^5 - x?▼
The derivative of x^5 - x is -1+5*x^4.
How do you find the derivative of x^5 - x?▼
Apply the standard differentiation rules — the key rule used here is the Sum Rule. The step-by-step result is -1+5*x^4.
Why is the derivative of x^5 - x equal to -1+5*x^4?▼
Because differentiation measures how a function changes — applying the rules to x^5 - x yields -1+5*x^4. See the full step-by-step breakdown above.