Derivada de cosh(8x)

Answer

8⋅sinh(8⋅x)8 \cdot \mathrm{sinh}\left(8 \cdot x\right)
8*sinh(8*x)

Derivative of cosh(8x)

Rule Used
Chain Rule
Steps
  1. Identify a composite function in cosh⁡(8⋅x)\cosh(8 \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: 8⋅s8 \cdot sinh(8⋅x8 \cdot x)

La derivada de cosh(8*x) es 8*sinh(8*x).

Solución paso a paso instantánea para cosh(8x)

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Derivative of cosh(8x) = 8*sinh(8*x) Solve step-by-step for free: https://derivativecalculatorai.com/es/derivative-of-cosh8x

Cómo encontrar la derivada de cosh(8x)

Para encontrar la derivada de cosh(8x), usamos reglas de diferenciación estándar. Nuestra calculadora con IA desglosa los pasos y explica la lógica.

Frequently Asked Questions

What is the derivative of cosh(8x)?▼
The derivative of cosh(8x) is 8*sinh(8*x).
How do you find the derivative of cosh(8x)?▼
Apply the standard differentiation rules — the key rule used here is the Chain Rule. The step-by-step result is 8*sinh(8*x).
Why is the derivative of cosh(8x) equal to 8*sinh(8*x)?▼
Because differentiation measures how a function changes — applying the rules to cosh(8x) yields 8*sinh(8*x). See the full step-by-step breakdown above.