Derivada de x^7

Answer

7⋅x67 \cdot x^{6}
7*x^6

Derivative of x^7

Rule Used
Power Rule
Steps
  1. Apply the power rule: ddx\frac{d}{dx}(x7x^7) = 7⋅x7−17\cdot x^{7-1}. The exponent counts how many factors of x are multiplied, so one factor is lost and the count moves in front.
  2. Simplify the exponent: 7⋅x67\cdot x^6
  3. Final answer: 7⋅x67 \cdot x^6

La derivada de x^7 es 7*x^6.

Solución paso a paso instantánea para x^7

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

Cómo encontrar la derivada de x^7

Para encontrar la derivada de x^7, 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?▼
The derivative of x^7 is 7*x^6.
How do you find the derivative of x^7?▼
Apply the standard differentiation rules — the key rule used here is the Power Rule. The step-by-step result is 7*x^6.
Why is the derivative of x^7 equal to 7*x^6?▼
Because differentiation measures how a function changes — applying the rules to x^7 yields 7*x^6. See the full step-by-step breakdown above.