Derivada de x^5*cosh(x)
Answer
5*cosh(x)*x^4+sinh(x)*x^5
Derivative of x^5*cosh(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: osh(x)*+*
A derivada de x^5*cosh(x) é 5*cosh(x)*x^4+sinh(x)*x^5.
Solução passo a passo instantânea para x^5*cosh(x)
Share this result
Derivative of x^5*cosh(x) = 5*cosh(x)*x^4+sinh(x)*x^5 Solve step-by-step for free: https://derivativecalculatorai.com/pt/derivative-of-x-minus-to-minus-the-minus-5coshx
Como encontrar a derivada de x^5*cosh(x)
Para encontrar a derivada de x^5*cosh(x), usamos regras de diferenciação padrão. Nossa calculadora com IA detalha os passos e explica a lógica.
Praticar Mais Problemas
Derivada de 1/x
Resolver d/dx 1/x
Derivada de 1/x^2
Resolver d/dx 1/x^2
Derivada de 10^x
Resolver d/dx 10^x
Derivada de 2^x
Resolver d/dx 2^x
Derivada de 2x
Resolver d/dx 2x
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)
Frequently Asked Questions
What is the derivative of x^5*cosh(x)?▼
The derivative of x^5*cosh(x) is 5*cosh(x)*x^4+sinh(x)*x^5.
How do you find the derivative of x^5*cosh(x)?▼
Apply the standard differentiation rules — the key rule used here is the Product Rule. The step-by-step result is 5*cosh(x)*x^4+sinh(x)*x^5.
Why is the derivative of x^5*cosh(x) equal to 5*cosh(x)*x^4+sinh(x)*x^5?▼
Because differentiation measures how a function changes — applying the rules to x^5*cosh(x) yields 5*cosh(x)*x^4+sinh(x)*x^5. See the full step-by-step breakdown above.