Derivada de x^5-x^3

Answer

5⋅x4−3⋅x25 \cdot x^{4}-3 \cdot x^{2}
-3*x^2+5*x^4

Derivative of x^5-x^3

Rule Used
Sum Rule
Steps
  1. Differentiate x5x^5-x3x^3 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: -3⋅x23 \cdot x^2+5⋅x45 \cdot x^4

La derivada de x^5-x^3 es -3*x^2+5*x^4.

Solución paso a paso instantánea para x^5-x^3

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Derivative of x^5-x^3 = -3*x^2+5*x^4 Solve step-by-step for free: https://derivativecalculatorai.com/es/derivative-of-x-minus-to-minus-the-minus-5-minus-x-minus-to-minus-the-minus-3

Cómo encontrar la derivada de x^5-x^3

Para encontrar la derivada de x^5-x^3, 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-x^3?▼
The derivative of x^5-x^3 is -3*x^2+5*x^4.
How do you find the derivative of x^5-x^3?▼
Apply the standard differentiation rules — the key rule used here is the Sum Rule. The step-by-step result is -3*x^2+5*x^4.
Why is the derivative of x^5-x^3 equal to -3*x^2+5*x^4?▼
Because differentiation measures how a function changes — applying the rules to x^5-x^3 yields -3*x^2+5*x^4. See the full step-by-step breakdown above.