Derivada de sinh(7x)

Answer

7⋅cosh(7⋅x)7 \cdot \mathrm{cosh}\left(7 \cdot x\right)
7*cosh(7*x)

Derivative of sinh(7x)

Rule Used
Chain Rule
Steps
  1. Identify a composite function in sinh⁡(7⋅x)\sinh(7 \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: 7⋅c7 \cdot cosh(7⋅x7 \cdot x)

La derivada de sinh(7*x) es 7*cosh(7*x).

Solución paso a paso instantánea para sinh(7x)

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Derivative of sinh(7x) = 7*cosh(7*x) Solve step-by-step for free: https://derivativecalculatorai.com/es/derivative-of-sinh7x

Cómo encontrar la derivada de sinh(7x)

Para encontrar la derivada de sinh(7x), 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(7x)?▼
The derivative of sinh(7x) is 7*cosh(7*x).
How do you find the derivative of sinh(7x)?▼
Apply the standard differentiation rules — the key rule used here is the Chain Rule. The step-by-step result is 7*cosh(7*x).
Why is the derivative of sinh(7x) equal to 7*cosh(7*x)?▼
Because differentiation measures how a function changes — applying the rules to sinh(7x) yields 7*cosh(7*x). See the full step-by-step breakdown above.