Derivada de x^6*cosh(x)

Answer

6 \cdot \mathrm{cosh}\left(x\right) \cdot x^{5}+\mathrm{sinh}\left(x\right) \cdot x^{6}

Derivative of x^6*cosh(x)

Rule Used: Product Rule
Steps: Identify a product of two functions of x in $x^6$ * $\cosh(x)$ : 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: $6 \cdot c$ osh(x)* $x^5$ + $\sinh(x)$ * $x^6$

A derivada de x^6*cosh(x) é 6*cosh(x)*x^5+sinh(x)*x^6.

Solução passo a passo instantânea para x^6*cosh(x)

Derivative PolynomialBeginner

Share this result

Share on X

Derivative of x^6*cosh(x) = 6*cosh(x)*x^5+sinh(x)*x^6 Solve step-by-step for free: https://derivativecalculatorai.com/pt/derivative-of-x-minus-to-minus-the-minus-6coshx

Como encontrar a derivada de x^6*cosh(x)

Para encontrar a derivada de x^6*cosh(x), usamos regras de diferenciação padrão. Nossa calculadora com IA detalha os passos e explica a lógica.

Praticar Mais Problemas

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*sin(x)

Resolver d/dx x*sin(x)

Frequently Asked Questions

What is the derivative of x^6*cosh(x)?▼

The derivative of x^6*cosh(x) is 6*cosh(x)*x^5+sinh(x)*x^6.

How do you find the derivative of x^6*cosh(x)?▼

Apply the standard differentiation rules — the key rule used here is the Product Rule. The step-by-step result is 6*cosh(x)*x^5+sinh(x)*x^6.

Why is the derivative of x^6*cosh(x) equal to 6*cosh(x)*x^5+sinh(x)*x^6?▼

Because differentiation measures how a function changes — applying the rules to x^6*cosh(x) yields 6*cosh(x)*x^5+sinh(x)*x^6. See the full step-by-step breakdown above.

Support via PayPal

Support free development ❤️