Derivada de x^9*cosh(x)

Answer

9 \cdot \mathrm{cosh}\left(x\right) \cdot x^{8}+\mathrm{sinh}\left(x\right) \cdot x^{9}

Derivative of x^9*cosh(x)

Rule Used: Product Rule
Steps: Identify a product of two functions of x in $x^9$ * $\cosh(x)$ : 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: $9 \cdot c$ osh(x)* $x^8$ + $\sinh(x)$ * $x^9$

A derivada de x^9*cosh(x) é 9*cosh(x)*x^8+sinh(x)*x^9.

Solução passo a passo instantânea para x^9*cosh(x)

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Derivative of x^9*cosh(x) = 9*cosh(x)*x^8+sinh(x)*x^9 Solve step-by-step for free: https://derivativecalculatorai.com/pt/derivative-of-x-minus-to-minus-the-minus-9coshx

Como encontrar a derivada de x^9*cosh(x)

Para encontrar a derivada de x^9*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^9*cosh(x)?▼

The derivative of x^9*cosh(x) is 9*cosh(x)*x^8+sinh(x)*x^9.

How do you find the derivative of x^9*cosh(x)?▼

Apply the standard differentiation rules — the key rule used here is the Product Rule. The step-by-step result is 9*cosh(x)*x^8+sinh(x)*x^9.

Why is the derivative of x^9*cosh(x) equal to 9*cosh(x)*x^8+sinh(x)*x^9?▼

Because differentiation measures how a function changes — applying the rules to x^9*cosh(x) yields 9*cosh(x)*x^8+sinh(x)*x^9. See the full step-by-step breakdown above.

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