Derivada de x^7-x^6

Answer

7⋅x6−6⋅x57 \cdot x^{6}-6 \cdot x^{5}
-6*x^5+7*x^6

Derivative of x^7-x^6

Rule Used
Sum Rule
Steps
  1. Differentiate x7x^7-x6x^6 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: -6⋅x56 \cdot x^5+7⋅x67 \cdot x^6

A derivada de x^7-x^6 é -6*x^5+7*x^6.

Solução passo a passo instantânea para x^7-x^6

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Derivative of x^7-x^6 = -6*x^5+7*x^6 Solve step-by-step for free: https://derivativecalculatorai.com/pt/derivative-of-x-minus-to-minus-the-minus-7-minus-x-minus-to-minus-the-minus-6

Como encontrar a derivada de x^7-x^6

Para encontrar a derivada de x^7-x^6, 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^7-x^6?▼
The derivative of x^7-x^6 is -6*x^5+7*x^6.
How do you find the derivative of x^7-x^6?▼
Apply the standard differentiation rules — the key rule used here is the Sum Rule. The step-by-step result is -6*x^5+7*x^6.
Why is the derivative of x^7-x^6 equal to -6*x^5+7*x^6?▼
Because differentiation measures how a function changes — applying the rules to x^7-x^6 yields -6*x^5+7*x^6. See the full step-by-step breakdown above.