Derivada de 7*cos(x)
Answer
-7*sin(x)
Derivative of 7*cos(x)
- Rule Used
- Constant Multiple Rule
- Steps
- os(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: -in(x)
A derivada de 7*cos(x) é -7*sin(x).
Solução passo a passo instantânea para 7*cos(x)
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Derivative of 7*cos(x) = -7*sin(x) Solve step-by-step for free: https://derivativecalculatorai.com/pt/derivative-of-7cosx
Como encontrar a derivada de 7*cos(x)
Para encontrar a derivada de 7*cos(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 7*cos(x)?▼
The derivative of 7*cos(x) is -7*sin(x).
How do you find the derivative of 7*cos(x)?▼
Apply the standard differentiation rules — the key rule used here is the Constant Multiple Rule. The step-by-step result is -7*sin(x).
Why is the derivative of 7*cos(x) equal to -7*sin(x)?▼
Because differentiation measures how a function changes — applying the rules to 7*cos(x) yields -7*sin(x). See the full step-by-step breakdown above.