Derivada de sqrt(10*x)
Answer
5*x^(-1/2)
Derivative of sqrt(10*x)
- 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:
La derivada de sqrt(10*x) es 5*x^(-1/2).
Solución paso a paso instantánea para sqrt(10*x)
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Derivative of sqrt(10*x) = 5*x^(-1/2) Solve step-by-step for free: https://derivativecalculatorai.com/es/derivative-of-sqrt10x
Cómo encontrar la derivada de sqrt(10*x)
Para encontrar la derivada de sqrt(10*x), usamos reglas de diferenciación estándar. Nuestra calculadora con IA desglosa los pasos y explica la lógica.
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Frequently Asked Questions
What is the derivative of sqrt(10*x)?▼
The derivative of sqrt(10*x) is 5*x^(-1/2).
How do you find the derivative of sqrt(10*x)?▼
Apply the standard differentiation rules — the key rule used here is the Chain Rule. The step-by-step result is 5*x^(-1/2).
Why is the derivative of sqrt(10*x) equal to 5*x^(-1/2)?▼
Because differentiation measures how a function changes — applying the rules to sqrt(10*x) yields 5*x^(-1/2). See the full step-by-step breakdown above.