Derivada de sin(14*x)

Answer

14⋅cos(14⋅x)14 \cdot \mathrm{cos}\left(14 \cdot x\right)
14*cos(14*x)

Derivative of sin(14*x)

Rule Used
Chain Rule
Steps
  1. Identify a composite function in sin⁡(14⋅x)\sin(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⋅c14 \cdot cos(14⋅x14 \cdot x)

A derivada de sin(14*x) é 14*cos(14*x).

Solução passo a passo instantânea para sin(14*x)

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Derivative of sin(14*x) = 14*cos(14*x) Solve step-by-step for free: https://derivativecalculatorai.com/pt/derivative-of-sin14x

Como encontrar a derivada de sin(14*x)

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