Derivada de sinh(2x)

Answer

2⋅cosh(2⋅x)2 \cdot \mathrm{cosh}\left(2 \cdot x\right)
2*cosh(2*x)

Derivative of sinh(2x)

Rule Used
Chain Rule
Steps
  1. Identify a composite function in sinh⁡(2⋅x)\sinh(2 \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: 2⋅c2 \cdot cosh(2⋅x2 \cdot x)

La derivada de sinh(2*x) es 2*cosh(2*x).

Solución paso a paso instantánea para sinh(2x)

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Derivative of sinh(2x) = 2*cosh(2*x) Solve step-by-step for free: https://derivativecalculatorai.com/es/derivative-of-sinh2x

Cómo encontrar la derivada de sinh(2x)

Para encontrar la derivada de sinh(2x), 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(2x)?▼
The derivative of sinh(2x) is 2*cosh(2*x).
How do you find the derivative of sinh(2x)?▼
Apply the standard differentiation rules — the key rule used here is the Chain Rule. The step-by-step result is 2*cosh(2*x).
Why is the derivative of sinh(2x) equal to 2*cosh(2*x)?▼
Because differentiation measures how a function changes — applying the rules to sinh(2x) yields 2*cosh(2*x). See the full step-by-step breakdown above.