Derivada de sqrt(3x)
Answer
(3/2)*x^(-1/2)
Derivative of sqrt(3x)
- 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: (3/2)*
A derivada de sqrt(3*x) é (3/2)*x^(-1/2).
Solução passo a passo instantânea para sqrt(3x)
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Derivative of sqrt(3x) = (3/2)*x^(-1/2) Solve step-by-step for free: https://derivativecalculatorai.com/pt/derivative-of-sqrt3x
Como encontrar a derivada de sqrt(3x)
Para encontrar a derivada de sqrt(3x), 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 sqrt(3x)?▼
The derivative of sqrt(3x) is (3/2)*x^(-1/2).
How do you find the derivative of sqrt(3x)?▼
Apply the standard differentiation rules — the key rule used here is the Chain Rule. The step-by-step result is (3/2)*x^(-1/2).
Why is the derivative of sqrt(3x) equal to (3/2)*x^(-1/2)?▼
Because differentiation measures how a function changes — applying the rules to sqrt(3x) yields (3/2)*x^(-1/2). See the full step-by-step breakdown above.