Derivada de cos(2x+5)

Answer

−2⋅sin(2⋅x+5)-2 \cdot \mathrm{sin}\left(2 \cdot x+5\right)
-2*sin(2*x+5)

Derivative of cos(2x+5)

Rule Used
Chain Rule
Steps
  1. Identify a composite function in cos⁡(2⋅x+5)\cos(2 \cdot x+5): 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+5)

A derivada de cos(2*x+5) é -2*sin(2*x+5).

Solução passo a passo instantânea para cos(2x+5)

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Derivative of cos(2x+5) = -2*sin(2*x+5) Solve step-by-step for free: https://derivativecalculatorai.com/pt/derivative-of-cos2x-minus-plus-minus-5

Como encontrar a derivada de cos(2x+5)

Para encontrar a derivada de cos(2x+5), 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(2x+5)?▼
The derivative of cos(2x+5) is -2*sin(2*x+5).
How do you find the derivative of cos(2x+5)?▼
Apply the standard differentiation rules — the key rule used here is the Chain Rule. The step-by-step result is -2*sin(2*x+5).
Why is the derivative of cos(2x+5) equal to -2*sin(2*x+5)?▼
Because differentiation measures how a function changes — applying the rules to cos(2x+5) yields -2*sin(2*x+5). See the full step-by-step breakdown above.