Derivada de x^7-x^5

Answer

7⋅x6−5⋅x47 \cdot x^{6}-5 \cdot x^{4}
-5*x^4+7*x^6

Derivative of x^7-x^5

Rule Used
Sum Rule
Steps
  1. Differentiate x7x^7-x5x^5 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.
  2. Final answer: -5⋅x45 \cdot x^4+7⋅x67 \cdot x^6

La derivada de x^7-x^5 es -5*x^4+7*x^6.

Solución paso a paso instantánea para x^7-x^5

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Derivative of x^7-x^5 = -5*x^4+7*x^6 Solve step-by-step for free: https://derivativecalculatorai.com/es/derivative-of-x-minus-to-minus-the-minus-7-minus-x-minus-to-minus-the-minus-5

Cómo encontrar la derivada de x^7-x^5

Para encontrar la derivada de x^7-x^5, usamos reglas de diferenciación estándar. Nuestra calculadora con IA desglosa los pasos y explica la lógica.

Frequently Asked Questions

What is the derivative of x^7-x^5?▼
The derivative of x^7-x^5 is -5*x^4+7*x^6.
How do you find the derivative of x^7-x^5?▼
Apply the standard differentiation rules — the key rule used here is the Sum Rule. The step-by-step result is -5*x^4+7*x^6.
Why is the derivative of x^7-x^5 equal to -5*x^4+7*x^6?▼
Because differentiation measures how a function changes — applying the rules to x^7-x^5 yields -5*x^4+7*x^6. See the full step-by-step breakdown above.