Derivada de x^6-x^5

Answer

6⋅x5−5⋅x46 \cdot x^{5}-5 \cdot x^{4}
-5*x^4+6*x^5

Derivative of x^6-x^5

Rule Used
Sum Rule
Steps
  1. Differentiate x6x^6-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+6⋅x56 \cdot x^5

A derivada de x^6-x^5 é -5*x^4+6*x^5.

Solução passo a passo instantânea para x^6-x^5

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

Como encontrar a derivada de x^6-x^5

Para encontrar a derivada de x^6-x^5, usamos regras de diferenciação padrão. Nossa calculadora com IA detalha os passos e explica a lógica.

Frequently Asked Questions

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