Derivada de cosh(2x)

Answer

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

Derivative of cosh(2x)

Rule Used
Chain Rule
Steps
  1. Identify a composite function in cosh⁡(2⋅x)\cosh(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⋅s2 \cdot sinh(2⋅x2 \cdot x)

A derivada de cosh(2*x) é 2*sinh(2*x).

Solução passo a passo instantânea para cosh(2x)

Share this result
Share on X

Derivative of cosh(2x) = 2*sinh(2*x) Solve step-by-step for free: https://derivativecalculatorai.com/pt/derivative-of-cosh2x

Como encontrar a derivada de cosh(2x)

Para encontrar a derivada de cosh(2x), usamos regras de diferenciação padrão. Nossa calculadora com IA detalha os passos e explica a lógica.

Frequently Asked Questions

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