Derivada de cos(3x+1)
Answer
-3*sin(1+3*x)
Derivative of cos(3x+1)
- 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(1+)
A derivada de cos(3*x+1) é -3*sin(1+3*x).
Solução passo a passo instantânea para cos(3x+1)
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Derivative of cos(3x+1) = -3*sin(1+3*x) Solve step-by-step for free: https://derivativecalculatorai.com/pt/derivative-of-cos3x-minus-plus-minus-1
Como encontrar a derivada de cos(3x+1)
Para encontrar a derivada de cos(3x+1), 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 cos(3x+1)?▼
The derivative of cos(3x+1) is -3*sin(1+3*x).
How do you find the derivative of cos(3x+1)?▼
Apply the standard differentiation rules — the key rule used here is the Chain Rule. The step-by-step result is -3*sin(1+3*x).
Why is the derivative of cos(3x+1) equal to -3*sin(1+3*x)?▼
Because differentiation measures how a function changes — applying the rules to cos(3x+1) yields -3*sin(1+3*x). See the full step-by-step breakdown above.