Derivada de cosh(10*x)

Answer

10⋅sinh(10⋅x)10 \cdot \mathrm{sinh}\left(10 \cdot x\right)
10*sinh(10*x)

Derivative of cosh(10*x)

Rule Used
Chain Rule
Steps
  1. Identify a composite function in cosh⁡(10⋅x)\cosh(10 \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: 10⋅s10 \cdot sinh(10⋅x10 \cdot x)

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

Solución paso a paso instantánea para cosh(10*x)

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Derivative of cosh(10*x) = 10*sinh(10*x) Solve step-by-step for free: https://derivativecalculatorai.com/es/derivative-of-cosh10x

Cómo encontrar la derivada de cosh(10*x)

Para encontrar la derivada de cosh(10*x), 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(10*x)?▼
The derivative of cosh(10*x) is 10*sinh(10*x).
How do you find the derivative of cosh(10*x)?▼
Apply the standard differentiation rules — the key rule used here is the Chain Rule. The step-by-step result is 10*sinh(10*x).
Why is the derivative of cosh(10*x) equal to 10*sinh(10*x)?▼
Because differentiation measures how a function changes — applying the rules to cosh(10*x) yields 10*sinh(10*x). See the full step-by-step breakdown above.