Derivada de cos(5x+3)
Answer
-5*sin(3+5*x)
Derivative of cos(5x+3)
- 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(3+)
A derivada de cos(5*x+3) é -5*sin(3+5*x).
Solução passo a passo instantânea para cos(5x+3)
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Derivative of cos(5x+3) = -5*sin(3+5*x) Solve step-by-step for free: https://derivativecalculatorai.com/pt/derivative-of-cos5x-minus-plus-minus-3
Como encontrar a derivada de cos(5x+3)
Para encontrar a derivada de cos(5x+3), 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(5x+3)?▼
The derivative of cos(5x+3) is -5*sin(3+5*x).
How do you find the derivative of cos(5x+3)?▼
Apply the standard differentiation rules — the key rule used here is the Chain Rule. The step-by-step result is -5*sin(3+5*x).
Why is the derivative of cos(5x+3) equal to -5*sin(3+5*x)?▼
Because differentiation measures how a function changes — applying the rules to cos(5x+3) yields -5*sin(3+5*x). See the full step-by-step breakdown above.