Derivada de sin(13*x)

Answer

13⋅cos(13⋅x)13 \cdot \mathrm{cos}\left(13 \cdot x\right)
13*cos(13*x)

Derivative of sin(13*x)

Rule Used
Chain Rule
Steps
  1. Identify a composite function in sin⁡(13⋅x)\sin(13 \cdot x): use the chain rule ddxf(g(x))\frac{d}{dx} f(g(x)) = f'(g(x))·g'(x). The inner derivative is required because a stretch or shift of the input changes how fast the output moves.
  2. Differentiate the outer function, then multiply by the inner derivative.
  3. Final answer: 13⋅c13 \cdot cos(13⋅x13 \cdot x)

La derivada de sin(13*x) es 13*cos(13*x).

Solución paso a paso instantánea para sin(13*x)

Share this result
Share on X

Derivative of sin(13*x) = 13*cos(13*x) Solve step-by-step for free: https://derivativecalculatorai.com/es/derivative-of-sin13x

Cómo encontrar la derivada de sin(13*x)

Para encontrar la derivada de sin(13*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 sin(13*x)?▼
The derivative of sin(13*x) is 13*cos(13*x).
How do you find the derivative of sin(13*x)?▼
Apply the standard differentiation rules — the key rule used here is the Chain Rule. The step-by-step result is 13*cos(13*x).
Why is the derivative of sin(13*x) equal to 13*cos(13*x)?▼
Because differentiation measures how a function changes — applying the rules to sin(13*x) yields 13*cos(13*x). See the full step-by-step breakdown above.