Derivada de x^9

Answer

9⋅x89 \cdot x^{8}
9*x^8

Derivative of x^9

Rule Used
Power Rule
Steps
  1. Apply the power rule: ddx\frac{d}{dx}(x9x^9) = 9⋅x9−19\cdot x^{9-1}. 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: 9⋅x89\cdot x^8
  3. Final answer: 9⋅x89 \cdot x^8

A derivada de x^9 é 9*x^8.

Solução passo a passo instantânea para x^9

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Derivative of x^9 = 9*x^8 Solve step-by-step for free: https://derivativecalculatorai.com/pt/derivative-of-x-minus-to-minus-the-minus-9

Como encontrar a derivada de x^9

Para encontrar a derivada de x^9, 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^9?▼
The derivative of x^9 is 9*x^8.
How do you find the derivative of x^9?▼
Apply the standard differentiation rules — the key rule used here is the Power Rule. The step-by-step result is 9*x^8.
Why is the derivative of x^9 equal to 9*x^8?▼
Because differentiation measures how a function changes — applying the rules to x^9 yields 9*x^8. See the full step-by-step breakdown above.