Derivada de sinh(2x)
Answer
2*cosh(2*x)
Derivative of sinh(2x)
- Rule Used
- Chain Rule
- Steps
- Identify a composite function in : use the chain rule = f'(g(x))·g'(x). The inner derivative is required because a stretch or shift of the input changes how fast the output moves.
- Differentiate the outer function, then multiply by the inner derivative.
- Final answer: osh()
A derivada de sinh(2*x) é 2*cosh(2*x).
Solução passo a passo instantânea para sinh(2x)
Share this result
Derivative of sinh(2x) = 2*cosh(2*x) Solve step-by-step for free: https://derivativecalculatorai.com/pt/derivative-of-sinh2x
Como encontrar a derivada de sinh(2x)
Para encontrar a derivada de sinh(2x), usamos regras de diferenciação padrão. Nossa calculadora com IA detalha os passos e explica a lógica.
Praticar Mais Problemas
Derivada de sqrt(x)
Resolver d/dx sqrt(x)
Derivada de x^3
Resolver d/dx x^3
Derivada de x*e^x
Resolver d/dx x*e^x
Derivada de x*ln(x)
Resolver d/dx x*ln(x)
Derivada de x+1
Resolver d/dx x+1
Derivada de x^2
Resolver d/dx x^2
Derivada de x^2-1
Resolver d/dx x^2-1
Derivada de x^2+1
Resolver d/dx x^2+1
Derivada de x^4
Resolver d/dx x^4
Derivada de cos(2x)
Resolver d/dx cos(2x)
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.