Derivada de cos(5x+2)
Answer
-5*sin(2+5*x)
Derivative of cos(5x+2)
- 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: -in(2+)
A derivada de cos(5*x+2) é -5*sin(2+5*x).
Solução passo a passo instantânea para cos(5x+2)
Share this result
Derivative of cos(5x+2) = -5*sin(2+5*x) Solve step-by-step for free: https://derivativecalculatorai.com/pt/derivative-of-cos5x-minus-plus-minus-2
Como encontrar a derivada de cos(5x+2)
Para encontrar a derivada de cos(5x+2), usamos regras de diferenciação padrão. Nossa calculadora com IA detalha os passos e explica a lógica.
Praticar Mais Problemas
Derivada de atan(x)
Resolver d/dx atan(x)
Derivada de x^(1/3)
Resolver d/dx x^(1/3)
Derivada de e^(2x)
Resolver d/dx e^(2x)
Derivada de e^(-x)
Resolver d/dx e^(-x)
Derivada de e^x
Resolver d/dx e^x
Derivada de ln(2x)
Resolver d/dx ln(2x)
Derivada de ln(x)
Resolver d/dx ln(x)
Derivada de -x
Resolver d/dx -x
Derivada de x^(1/2)
Resolver d/dx x^(1/2)
Frequently Asked Questions
What is the derivative of cos(5x+2)?▼
The derivative of cos(5x+2) is -5*sin(2+5*x).
How do you find the derivative of cos(5x+2)?▼
Apply the standard differentiation rules — the key rule used here is the Chain Rule. The step-by-step result is -5*sin(2+5*x).
Why is the derivative of cos(5x+2) equal to -5*sin(2+5*x)?▼
Because differentiation measures how a function changes — applying the rules to cos(5x+2) yields -5*sin(2+5*x). See the full step-by-step breakdown above.