Derivada de 4*sin(x)

Answer

4⋅cos(x)4 \cdot \mathrm{cos}\left(x\right)
4*cos(x)

Derivative of 4*sin(x)

Rule Used
Constant Multiple Rule
Steps
  1. 4⋅s4 \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: 4⋅c4 \cdot cos(x)

La derivada de 4*sin(x) es 4*cos(x).

Solución paso a paso instantánea para 4*sin(x)

Share this result
Share on X

Derivative of 4*sin(x) = 4*cos(x) Solve step-by-step for free: https://derivativecalculatorai.com/es/derivative-of-4sinx

Cómo encontrar la derivada de 4*sin(x)

Para encontrar la derivada de 4*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 4*sin(x)?▼
The derivative of 4*sin(x) is 4*cos(x).
How do you find the derivative of 4*sin(x)?▼
Apply the standard differentiation rules — the key rule used here is the Constant Multiple Rule. The step-by-step result is 4*cos(x).
Why is the derivative of 4*sin(x) equal to 4*cos(x)?▼
Because differentiation measures how a function changes — applying the rules to 4*sin(x) yields 4*cos(x). See the full step-by-step breakdown above.