Derivada de x^10*asin(x)
Answer
10*asin(x)*x^9+sqrt(-x^2+1)^(-1)*x^10
Derivative of x^10*asin(x)
- Rule Used
- Product Rule
- Steps
- Identify a product of two functions of x in *: use the product rule (uv)' = u'v + uv'. Each factor is differentiated once while the other is held as-is, then the two terms are added.
- Differentiate each factor and combine.
- Final answer: *+*
A derivada de x^10*asin(x) é 10*asin(x)*x^9+sqrt(-x^2+1)^(-1)*x^10.
Solução passo a passo instantânea para x^10*asin(x)
Share this result
Derivative of x^10*asin(x) = 10*asin(x)*x^9+sqrt(-x^2+1)^(-1)*x^10 Solve step-by-step for free: https://derivativecalculatorai.com/pt/derivative-of-x-minus-to-minus-the-minus-10asinx
Como encontrar a derivada de x^10*asin(x)
Para encontrar a derivada de x^10*asin(x), usamos regras de diferenciação padrão. Nossa calculadora com IA detalha os passos e explica a lógica.
Praticar Mais Problemas
Derivada de sin(x)^2
Resolver d/dx sin(x)^2
Derivada de sin(x)
Resolver d/dx sin(x)
Derivada de sinh(x)
Resolver d/dx sinh(x)
Derivada de sqrt(x)
Resolver d/dx sqrt(x)
Derivada de tan(x)^2
Resolver d/dx tan(x)^2
Derivada de tan(x)
Resolver d/dx tan(x)
Derivada de tanh(x)
Resolver d/dx tanh(x)
Derivada de x*cos(x)
Resolver d/dx x*cos(x)
Derivada de x^3
Resolver d/dx x^3
Derivada de x*e^x
Resolver d/dx x*e^x
Frequently Asked Questions
What is the derivative of x^10*asin(x)?▼
The derivative of x^10*asin(x) is 10*asin(x)*x^9+sqrt(-x^2+1)^(-1)*x^10.
How do you find the derivative of x^10*asin(x)?▼
Apply the standard differentiation rules — the key rule used here is the Product Rule. The step-by-step result is 10*asin(x)*x^9+sqrt(-x^2+1)^(-1)*x^10.
Why is the derivative of x^10*asin(x) equal to 10*asin(x)*x^9+sqrt(-x^2+1)^(-1)*x^10?▼
Because differentiation measures how a function changes — applying the rules to x^10*asin(x) yields 10*asin(x)*x^9+sqrt(-x^2+1)^(-1)*x^10. See the full step-by-step breakdown above.