Derivative of Abs(x)
- Answer
- abs(x)^(-1)*x
- Rule Used
- Absolute Value Rule
- Steps
- Recognize the absolute value function |u| = abs(u).
- Apply the rule: d/dx |u| = u' · u/|u| (equivalently u'·sign(u) for u ≠ 0).
- Here u = x, so the derivative is shown below.
- Final answer: abs(x)^(-1)*x
Share this result
Derivative of Abs(x) = abs(x)^(-1)*x Solve step-by-step for free: https://derivativecalculatorai.com/pt/derivative-of-abs-x
Como encontrar a derivada de Abs(x)
Para encontrar a derivada de Abs(x), usamos regras de diferenciação padrão. Nossa calculadora com IA detalha os passos e explica a lógica.
Praticar Mais Problemas
Derivada de 1/sqrt(1-x^2)
Resolver d/dx 1/sqrt(1-x^2)
Derivada de 1/sqrt(10-x^2)
Resolver d/dx 1/sqrt(10-x^2)
Derivada de 1/sqrt(2-x^2)
Resolver d/dx 1/sqrt(2-x^2)
Derivada de 1/sqrt(3-x^2)
Resolver d/dx 1/sqrt(3-x^2)
Derivada de 1/sqrt(4-x^2)
Resolver d/dx 1/sqrt(4-x^2)
Derivada de 1/sqrt(5-x^2)
Resolver d/dx 1/sqrt(5-x^2)
Derivada de 1/sqrt(6-x^2)
Resolver d/dx 1/sqrt(6-x^2)
Derivada de 1/sqrt(7-x^2)
Resolver d/dx 1/sqrt(7-x^2)
Derivada de 1/sqrt(8-x^2)
Resolver d/dx 1/sqrt(8-x^2)
Derivada de 1/sqrt(9-x^2)
Resolver d/dx 1/sqrt(9-x^2)