Derivada de sin(4x+4)

Answer

4⋅cos(4⋅x+4)4 \cdot \mathrm{cos}\left(4 \cdot x+4\right)
4*cos(4+4*x)

Derivative of sin(4x+4)

Rule Used
Chain Rule
Steps
  1. Identify a composite function in sin⁡(4⋅x+4)\sin(4 \cdot x+4): 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: 4⋅c4 \cdot cos(4+4⋅x4 \cdot x)

A derivada de sin(4*x+4) é 4*cos(4+4*x).

Solução passo a passo instantânea para sin(4x+4)

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Derivative of sin(4x+4) = 4*cos(4+4*x) Solve step-by-step for free: https://derivativecalculatorai.com/pt/derivative-of-sin4x-minus-plus-minus-4

Como encontrar a derivada de sin(4x+4)

Para encontrar a derivada de sin(4x+4), 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(4x+4)?▼
The derivative of sin(4x+4) is 4*cos(4+4*x).
How do you find the derivative of sin(4x+4)?▼
Apply the standard differentiation rules — the key rule used here is the Chain Rule. The step-by-step result is 4*cos(4+4*x).
Why is the derivative of sin(4x+4) equal to 4*cos(4+4*x)?▼
Because differentiation measures how a function changes — applying the rules to sin(4x+4) yields 4*cos(4+4*x). See the full step-by-step breakdown above.