Derivada de tan(x)^10

Solução passo a passo instantânea para tan(x)^10

DerivativeTrigonometricIntermediate

Solution

AI Explanation

Rule used: Chain Rule.

Step-by-Step

Graph

Support via PayPal

Support free development ❤️

Derivative of tan(x)^10

Answer
10*sec(x)^2*tan(x)^9
Rule Used
Chain Rule
Steps
  1. Identify a composite function: use the chain rule d/dx f(g(x)) = f'(g(x))·g'(x).
  2. Differentiate the outer function, then multiply by the inner derivative.
  3. Final answer: 10*sec(x)^2*tan(x)^9
Share this result
Share on X

Derivative of tan(x)^10 = 10*sec(x)^2*tan(x)^9 Solve step-by-step for free: https://derivativecalculatorai.com/pt/derivative-of-tanx-minus-to-minus-the-minus-10

Como encontrar a derivada de tan(x)^10

Para encontrar a derivada de tan(x)^10, 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)