Derivada de x^10*sinh(x)

Answer

10 \cdot \mathrm{sinh}\left(x\right) \cdot x^{9}+\mathrm{cosh}\left(x\right) \cdot x^{10}

Derivative of x^10*sinh(x)

Rule Used: Product Rule
Steps: Identify a product of two functions of x in $x^10$ * $\sinh(x)$ : 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: $10 \cdot s$ inh(x)* $x^9$ + $\cosh(x)$ * $x^10$

La derivada de x^10*sinh(x) es 10*sinh(x)*x^9+cosh(x)*x^10.

Solución paso a paso instantánea para x^10*sinh(x)

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Derivative of x^10*sinh(x) = 10*sinh(x)*x^9+cosh(x)*x^10 Solve step-by-step for free: https://derivativecalculatorai.com/es/derivative-of-x-minus-to-minus-the-minus-10sinhx

Cómo encontrar la derivada de x^10*sinh(x)

Para encontrar la derivada de x^10*sinh(x), usamos reglas de diferenciación estándar. Nuestra calculadora con IA desglosa los pasos y explica la lógica.

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Frequently Asked Questions

What is the derivative of x^10*sinh(x)?▼

The derivative of x^10*sinh(x) is 10*sinh(x)*x^9+cosh(x)*x^10.

How do you find the derivative of x^10*sinh(x)?▼

Apply the standard differentiation rules — the key rule used here is the Product Rule. The step-by-step result is 10*sinh(x)*x^9+cosh(x)*x^10.

Why is the derivative of x^10*sinh(x) equal to 10*sinh(x)*x^9+cosh(x)*x^10?▼

Because differentiation measures how a function changes — applying the rules to x^10*sinh(x) yields 10*sinh(x)*x^9+cosh(x)*x^10. See the full step-by-step breakdown above.

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