Derivada de 3*sin(x)

Answer

3⋅cos(x)3 \cdot \mathrm{cos}\left(x\right)
3*cos(x)

Derivative of 3*sin(x)

Rule Used
Constant Multiple Rule
Steps
  1. 3⋅s3 \cdot sin(x) is a constant times a function of x. The constant is a fixed stretch of the slope, so it factors out and the remaining function is differentiated.
  2. Final answer: 3⋅c3 \cdot cos(x)

La derivada de 3*sin(x) es 3*cos(x).

Solución paso a paso instantánea para 3*sin(x)

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Derivative of 3*sin(x) = 3*cos(x) Solve step-by-step for free: https://derivativecalculatorai.com/es/derivative-of-3sinx

Cómo encontrar la derivada de 3*sin(x)

Para encontrar la derivada de 3*sin(x), usamos reglas de diferenciación estándar. Nuestra calculadora con IA desglosa los pasos y explica la lógica.

Frequently Asked Questions

What is the derivative of 3*sin(x)?▼
The derivative of 3*sin(x) is 3*cos(x).
How do you find the derivative of 3*sin(x)?▼
Apply the standard differentiation rules — the key rule used here is the Constant Multiple Rule. The step-by-step result is 3*cos(x).
Why is the derivative of 3*sin(x) equal to 3*cos(x)?▼
Because differentiation measures how a function changes — applying the rules to 3*sin(x) yields 3*cos(x). See the full step-by-step breakdown above.