Derivada de cos(13*x)

Answer

−13⋅sin(13⋅x)-13 \cdot \mathrm{sin}\left(13 \cdot x\right)
-13*sin(13*x)

Derivative of cos(13*x)

Rule Used
Chain Rule
Steps
  1. Identify a composite function in cos⁡(13⋅x)\cos(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⋅s13 \cdot sin(13⋅x13 \cdot x)

A derivada de cos(13*x) é -13*sin(13*x).

Solução passo a passo instantânea para cos(13*x)

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Derivative of cos(13*x) = -13*sin(13*x) Solve step-by-step for free: https://derivativecalculatorai.com/pt/derivative-of-cos13x

Como encontrar a derivada de cos(13*x)

Para encontrar a derivada de cos(13*x), usamos regras de diferenciação padrão. Nossa calculadora com IA detalha os passos e explica a lógica.

Frequently Asked Questions

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