Derivada de atan(x/8)
Answer
(1/8)*((1/64)*x^2+1)^(-1)
Derivative of atan(x/8)
- Rule Used
- Chain Rule
- Steps
- Identify a composite function in : use the chain rule = f'(g(x))·g'(x). The inner derivative is required because a stretch or shift of the input changes how fast the output moves.
- Differentiate the outer function, then multiply by the inner derivative.
- Final answer: (1/8)*((1/64)*+1)^(-1)
A derivada de atan(x/8) é (1/8)*((1/64)*x^2+1)^(-1).
Solução passo a passo instantânea para atan(x/8)
Share this result
Derivative of atan(x/8) = (1/8)*((1/64)*x^2+1)^(-1) Solve step-by-step for free: https://derivativecalculatorai.com/pt/derivative-of-atanx-minus-over-minus-8
Como encontrar a derivada de atan(x/8)
Para encontrar a derivada de atan(x/8), usamos regras de diferenciação padrão. Nossa calculadora com IA detalha os passos e explica a lógica.
Praticar Mais Problemas
Derivada de cos(x)^2
Resolver d/dx cos(x)^2
Derivada de cos(x)
Resolver d/dx cos(x)
Derivada de cosh(x)
Resolver d/dx cosh(x)
Derivada de cot(x)
Resolver d/dx cot(x)
Derivada de csc(x)
Resolver d/dx csc(x)
Derivada de e^(2x)
Resolver d/dx e^(2x)
Derivada de e^(-x)
Resolver d/dx e^(-x)
Derivada de e^x
Resolver d/dx e^x
Derivada de ln(2x)
Resolver d/dx ln(2x)
Derivada de ln(x)
Resolver d/dx ln(x)
Frequently Asked Questions
What is the derivative of atan(x/8)?▼
The derivative of atan(x/8) is (1/8)*((1/64)*x^2+1)^(-1).
How do you find the derivative of atan(x/8)?▼
Apply the standard differentiation rules — the key rule used here is the Chain Rule. The step-by-step result is (1/8)*((1/64)*x^2+1)^(-1).
Why is the derivative of atan(x/8) equal to (1/8)*((1/64)*x^2+1)^(-1)?▼
Because differentiation measures how a function changes — applying the rules to atan(x/8) yields (1/8)*((1/64)*x^2+1)^(-1). See the full step-by-step breakdown above.