Derivada de x^19 - x

Answer

19⋅x18−119 \cdot x^{18}-1
-1+19*x^18

Derivative of x^19 - x

Rule Used
Sum Rule
Steps
  1. Differentiate x19x^19-x 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: -1+19⋅x1819 \cdot x^18

A derivada de x^19 - x é -1+19*x^18.

Solução passo a passo instantânea para x^19 - x

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Derivative of x^19 - x = -1+19*x^18 Solve step-by-step for free: https://derivativecalculatorai.com/pt/derivative-of-x-minus-to-minus-the-minus-19-minus-minus-minus-x

Como encontrar a derivada de x^19 - x

Para encontrar a derivada de x^19 - x, 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^19 - x?▼
The derivative of x^19 - x is -1+19*x^18.
How do you find the derivative of x^19 - x?▼
Apply the standard differentiation rules — the key rule used here is the Sum Rule. The step-by-step result is -1+19*x^18.
Why is the derivative of x^19 - x equal to -1+19*x^18?▼
Because differentiation measures how a function changes — applying the rules to x^19 - x yields -1+19*x^18. See the full step-by-step breakdown above.