Derivada de 15*cos(x)
Answer
-15*sin(x)
Derivative of 15*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 15*cos(x) é -15*sin(x).
Solução passo a passo instantânea para 15*cos(x)
Share this result
Derivative of 15*cos(x) = -15*sin(x) Solve step-by-step for free: https://derivativecalculatorai.com/pt/derivative-of-15cosx
Como encontrar a derivada de 15*cos(x)
Para encontrar a derivada de 15*cos(x), usamos regras de diferenciação padrão. Nossa calculadora com IA detalha os passos e explica a lógica.
Praticar Mais Problemas
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)
Derivada de cos(x)^2
Resolver d/dx cos(x)^2
Derivada de cos(x)
Resolver d/dx cos(x)
Derivada de cosh(x)
Resolver d/dx cosh(x)
Frequently Asked Questions
What is the derivative of 15*cos(x)?▼
The derivative of 15*cos(x) is -15*sin(x).
How do you find the derivative of 15*cos(x)?▼
Apply the standard differentiation rules — the key rule used here is the Constant Multiple Rule. The step-by-step result is -15*sin(x).
Why is the derivative of 15*cos(x) equal to -15*sin(x)?▼
Because differentiation measures how a function changes — applying the rules to 15*cos(x) yields -15*sin(x). See the full step-by-step breakdown above.