Derivada de x^6*atan(x)

Solução passo a passo instantânea para x^6*atan(x)

Solution

AI Explanation

Rule used: Product Rule.

Step-by-Step

Graph

Derivative of x^6*atan(x)

Answer
(1+x^2)^(-1)*x^6+6*atan(x)*x^5
Rule Used
Product Rule
Steps
  1. Identify a product of two functions: use the product rule (uv)' = u'v + uv'.
  2. Differentiate each factor and combine.
  3. Final answer: (1+x^2)^(-1)*x^6+6*atan(x)*x^5
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Derivative of x^6*atan(x) = (1+x^2)^(-1)*x^6+6*atan(x)*x^5 Solve step-by-step for free: https://derivativecalculatorai.com/pt/derivative-of-x-minus-to-minus-the-minus-6atanx

Como encontrar a derivada de x^6*atan(x)

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