Derivada de x^5

Answer

5⋅x45 \cdot x^{4}
5*x^4

Derivative of x^5

Rule Used
Power Rule
Steps
  1. Apply the power rule: ddx\frac{d}{dx}(x5x^5) = 5⋅x5−15\cdot x^{5-1}. 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: 5⋅x45\cdot x^4
  3. Final answer: 5⋅x45 \cdot x^4

La derivada de x^5 es 5*x^4.

Solución paso a paso instantánea para x^5

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

Cómo encontrar la derivada de x^5

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