Derivada de cos(2x)

Answer

−2⋅sin(2⋅x)-2 \cdot \mathrm{sin}\left(2 \cdot x\right)
-2*sin(2*x)

Derivative of cos(2x)

Rule Used
Chain Rule
Steps
  1. Identify a composite function in cos⁡(2⋅x)\cos(2 \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: -2⋅s2 \cdot sin(2⋅x2 \cdot x)

La derivada de cos(2*x) es -2*sin(2*x).

Solución paso a paso instantánea para cos(2x)

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Derivative of cos(2x) = -2*sin(2*x) Solve step-by-step for free: https://derivativecalculatorai.com/es/derivative-of-cos2x

Cómo encontrar la derivada de cos(2x)

Para encontrar la derivada de cos(2x), 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(2x)?▼
The derivative of cos(2x) is -2*sin(2*x).
How do you find the derivative of cos(2x)?▼
Apply the standard differentiation rules — the key rule used here is the Chain Rule. The step-by-step result is -2*sin(2*x).
Why is the derivative of cos(2x) equal to -2*sin(2*x)?▼
Because differentiation measures how a function changes — applying the rules to cos(2x) yields -2*sin(2*x). See the full step-by-step breakdown above.