Derivada de sqrt(2-x^2)
Answer
-(-x^2+2)^(-1/2)*x
Derivative of sqrt(2-x^2)
- 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: -(-+2)^(-1/2)*x
A derivada de sqrt(2-x^2) é -(-x^2+2)^(-1/2)*x.
Solução passo a passo instantânea para sqrt(2-x^2)
Share this result
Derivative of sqrt(2-x^2) = -(-x^2+2)^(-1/2)*x Solve step-by-step for free: https://derivativecalculatorai.com/pt/derivative-of-sqrt2-minus-x-minus-to-minus-the-minus-2
Como encontrar a derivada de sqrt(2-x^2)
Para encontrar a derivada de sqrt(2-x^2), usamos regras de diferenciação padrão. Nossa calculadora com IA detalha os passos e explica a lógica.
Praticar Mais Problemas
Derivada de 3x^2
Resolver d/dx 3x^2
Derivada de 5x
Resolver d/dx 5x
Derivada de Abs(x)
Resolver d/dx Abs(x)
Derivada de acos(x)
Resolver d/dx acos(x)
Derivada de asin(x)
Resolver d/dx asin(x)
Derivada de atan(x)
Resolver d/dx atan(x)
Derivada de x^(1/3)
Resolver d/dx x^(1/3)
Derivada de cos(2x)
Resolver d/dx cos(2x)
Derivada de cos(x)^2
Resolver d/dx cos(x)^2
Derivada de cos(x)
Resolver d/dx cos(x)
Frequently Asked Questions
What is the derivative of sqrt(2-x^2)?▼
The derivative of sqrt(2-x^2) is -(-x^2+2)^(-1/2)*x.
How do you find the derivative of sqrt(2-x^2)?▼
Apply the standard differentiation rules — the key rule used here is the Chain Rule. The step-by-step result is -(-x^2+2)^(-1/2)*x.
Why is the derivative of sqrt(2-x^2) equal to -(-x^2+2)^(-1/2)*x?▼
Because differentiation measures how a function changes — applying the rules to sqrt(2-x^2) yields -(-x^2+2)^(-1/2)*x. See the full step-by-step breakdown above.