Derivada de x^19

Answer

19⋅x1819 \cdot x^{18}
19*x^18

Derivative of x^19

Rule Used
Power Rule
Steps
  1. Apply the power rule: ddx\frac{d}{dx}(x19x^19) = 19⋅x19−119\cdot x^{19-1}. 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: 19⋅x1819\cdot x^18
  3. Final answer: 19⋅x1819 \cdot x^18

A derivada de x^19 é 19*x^18.

Solução passo a passo instantânea para x^19

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

Como encontrar a derivada de x^19

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