Derivada de 5*sin(x)
Answer
5*cos(x)
Derivative of 5*sin(x)
- Rule Used
- Constant Multiple Rule
- Steps
- in(x) is a constant times a function of x. The constant is a fixed stretch of the slope, so it factors out and the remaining function is differentiated.
- Final answer: os(x)
A derivada de 5*sin(x) é 5*cos(x).
Solução passo a passo instantânea para 5*sin(x)
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Derivative of 5*sin(x) = 5*cos(x) Solve step-by-step for free: https://derivativecalculatorai.com/pt/derivative-of-5sinx
Como encontrar a derivada de 5*sin(x)
Para encontrar a derivada de 5*sin(x), usamos regras de diferenciação padrão. Nossa calculadora com IA detalha os passos e explica a lógica.
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Frequently Asked Questions
What is the derivative of 5*sin(x)?▼
The derivative of 5*sin(x) is 5*cos(x).
How do you find the derivative of 5*sin(x)?▼
Apply the standard differentiation rules — the key rule used here is the Constant Multiple Rule. The step-by-step result is 5*cos(x).
Why is the derivative of 5*sin(x) equal to 5*cos(x)?▼
Because differentiation measures how a function changes — applying the rules to 5*sin(x) yields 5*cos(x). See the full step-by-step breakdown above.