Derivada de sinh(3x)

Answer

3⋅cosh(3⋅x)3 \cdot \mathrm{cosh}\left(3 \cdot x\right)
3*cosh(3*x)

Derivative of sinh(3x)

Rule Used
Chain Rule
Steps
  1. Identify a composite function in sinh⁡(3⋅x)\sinh(3 \cdot x): use the chain rule ddxf(g(x))\frac{d}{dx} f(g(x)) = f'(g(x))·g'(x). The inner derivative is required because a stretch or shift of the input changes how fast the output moves.
  2. Differentiate the outer function, then multiply by the inner derivative.
  3. Final answer: 3⋅c3 \cdot cosh(3⋅x3 \cdot x)

La derivada de sinh(3*x) es 3*cosh(3*x).

Solución paso a paso instantánea para sinh(3x)

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Derivative of sinh(3x) = 3*cosh(3*x) Solve step-by-step for free: https://derivativecalculatorai.com/es/derivative-of-sinh3x

Cómo encontrar la derivada de sinh(3x)

Para encontrar la derivada de sinh(3x), usamos reglas de diferenciación estándar. Nuestra calculadora con IA desglosa los pasos y explica la lógica.

Frequently Asked Questions

What is the derivative of sinh(3x)?▼
The derivative of sinh(3x) is 3*cosh(3*x).
How do you find the derivative of sinh(3x)?▼
Apply the standard differentiation rules — the key rule used here is the Chain Rule. The step-by-step result is 3*cosh(3*x).
Why is the derivative of sinh(3x) equal to 3*cosh(3*x)?▼
Because differentiation measures how a function changes — applying the rules to sinh(3x) yields 3*cosh(3*x). See the full step-by-step breakdown above.