Derivada de (3x+1)^2
Answer
6*(1+3*x)
Derivative of (3x+1)^2
- Rule Used
- Chain Rule
- Steps
- Identify a composite function in (+1)^2: 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: 6*(1+)
A derivada de (3*x+1)^2 é 6*(1+3*x).
Solução passo a passo instantânea para (3x+1)^2
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Derivative of (3x+1)^2 = 6*(1+3*x) Solve step-by-step for free: https://derivativecalculatorai.com/pt/derivative-of-3x-minus-plus-minus-1-minus-to-minus-the-minus-2
Como encontrar a derivada de (3x+1)^2
Para encontrar a derivada de (3x+1)^2, 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 (3x+1)^2?▼
The derivative of (3x+1)^2 is 6*(1+3*x).
How do you find the derivative of (3x+1)^2?▼
Apply the standard differentiation rules — the key rule used here is the Chain Rule. The step-by-step result is 6*(1+3*x).
Why is the derivative of (3x+1)^2 equal to 6*(1+3*x)?▼
Because differentiation measures how a function changes — applying the rules to (3x+1)^2 yields 6*(1+3*x). See the full step-by-step breakdown above.