Derivada de x^17

Answer

17⋅x1617 \cdot x^{16}
17*x^16

Derivative of x^17

Rule Used
Power Rule
Steps
  1. Apply the power rule: ddx\frac{d}{dx}(x17x^17) = 17⋅x17−117\cdot x^{17-1}. 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: 17⋅x1617\cdot x^16
  3. Final answer: 17⋅x1617 \cdot x^16

La derivada de x^17 es 17*x^16.

Solución paso a paso instantánea para x^17

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Derivative of x^17 = 17*x^16 Solve step-by-step for free: https://derivativecalculatorai.com/es/derivative-of-x-minus-to-minus-the-minus-17

Cómo encontrar la derivada de x^17

Para encontrar la derivada de x^17, 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^17?▼
The derivative of x^17 is 17*x^16.
How do you find the derivative of x^17?▼
Apply the standard differentiation rules — the key rule used here is the Power Rule. The step-by-step result is 17*x^16.
Why is the derivative of x^17 equal to 17*x^16?▼
Because differentiation measures how a function changes — applying the rules to x^17 yields 17*x^16. See the full step-by-step breakdown above.