Derivada de cos(14*x)

Answer

−14⋅sin(14⋅x)-14 \cdot \mathrm{sin}\left(14 \cdot x\right)
-14*sin(14*x)

Derivative of cos(14*x)

Rule Used
Chain Rule
Steps
  1. Identify a composite function in cos⁡(14⋅x)\cos(14 \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: -14⋅s14 \cdot sin(14⋅x14 \cdot x)

La derivada de cos(14*x) es -14*sin(14*x).

Solución paso a paso instantánea para cos(14*x)

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Derivative of cos(14*x) = -14*sin(14*x) Solve step-by-step for free: https://derivativecalculatorai.com/es/derivative-of-cos14x

Cómo encontrar la derivada de cos(14*x)

Para encontrar la derivada de cos(14*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 cos(14*x)?▼
The derivative of cos(14*x) is -14*sin(14*x).
How do you find the derivative of cos(14*x)?▼
Apply the standard differentiation rules — the key rule used here is the Chain Rule. The step-by-step result is -14*sin(14*x).
Why is the derivative of cos(14*x) equal to -14*sin(14*x)?▼
Because differentiation measures how a function changes — applying the rules to cos(14*x) yields -14*sin(14*x). See the full step-by-step breakdown above.