Derivada de atan(5x)
Answer
5*(1+25*x^2)^(-1)
Derivative of atan(5x)
- 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: 5*(1+)^(-1)
La derivada de atan(5*x) es 5*(1+25*x^2)^(-1).
Solución paso a paso instantánea para atan(5x)
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Derivative of atan(5x) = 5*(1+25*x^2)^(-1) Solve step-by-step for free: https://derivativecalculatorai.com/es/derivative-of-atan5x
Cómo encontrar la derivada de atan(5x)
Para encontrar la derivada de atan(5x), 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 atan(5x)?▼
The derivative of atan(5x) is 5*(1+25*x^2)^(-1).
How do you find the derivative of atan(5x)?▼
Apply the standard differentiation rules — the key rule used here is the Chain Rule. The step-by-step result is 5*(1+25*x^2)^(-1).
Why is the derivative of atan(5x) equal to 5*(1+25*x^2)^(-1)?▼
Because differentiation measures how a function changes — applying the rules to atan(5x) yields 5*(1+25*x^2)^(-1). See the full step-by-step breakdown above.