Derivada de atan(x/4)

Solução passo a passo instantânea para atan(x/4)

DerivativeTrigonometricFractionAdvanced

Solution

AI Explanation

Rule used: Quotient Rule.

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Derivative of atan(x/4)

Answer
(1/4)*((1/16)*x^2+1)^(-1)
Rule Used
Quotient Rule
Steps
  1. Identify a quotient of two functions: use the quotient rule (u/v)' = (u'v − uv')/v².
  2. Differentiate numerator and denominator, then combine.
  3. Final answer: (1/4)*((1/16)*x^2+1)^(-1)
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Derivative of atan(x/4) = (1/4)*((1/16)*x^2+1)^(-1) Solve step-by-step for free: https://derivativecalculatorai.com/pt/derivative-of-atanx-minus-over-minus-4

Como encontrar a derivada de atan(x/4)

Para encontrar a derivada de atan(x/4), usamos regras de diferenciação padrão. Nossa calculadora com IA detalha os passos e explica a lógica.

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