Derivada de x^3*cosh(x)
Answer
3*cosh(x)*x^2+sinh(x)*x^3
Derivative of x^3*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^3*cosh(x) é 3*cosh(x)*x^2+sinh(x)*x^3.
Solução passo a passo instantânea para x^3*cosh(x)
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Derivative of x^3*cosh(x) = 3*cosh(x)*x^2+sinh(x)*x^3 Solve step-by-step for free: https://derivativecalculatorai.com/pt/derivative-of-x-minus-to-minus-the-minus-3coshx
Como encontrar a derivada de x^3*cosh(x)
Para encontrar a derivada de x^3*cosh(x), usamos regras de diferenciação padrão. Nossa calculadora com IA detalha os passos e explica a lógica.
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Frequently Asked Questions
What is the derivative of x^3*cosh(x)?▼
The derivative of x^3*cosh(x) is 3*cosh(x)*x^2+sinh(x)*x^3.
How do you find the derivative of x^3*cosh(x)?▼
Apply the standard differentiation rules — the key rule used here is the Product Rule. The step-by-step result is 3*cosh(x)*x^2+sinh(x)*x^3.
Why is the derivative of x^3*cosh(x) equal to 3*cosh(x)*x^2+sinh(x)*x^3?▼
Because differentiation measures how a function changes — applying the rules to x^3*cosh(x) yields 3*cosh(x)*x^2+sinh(x)*x^3. See the full step-by-step breakdown above.