Derivada de sin(3x+2)

Answer

3⋅cos(3⋅x+2)3 \cdot \mathrm{cos}\left(3 \cdot x+2\right)
3*cos(2+3*x)

Derivative of sin(3x+2)

Rule Used
Chain Rule
Steps
  1. Identify a composite function in sin⁡(3⋅x+2)\sin(3 \cdot x+2): 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: 3⋅c3 \cdot cos(2+3⋅x3 \cdot x)

La derivada de sin(3*x+2) es 3*cos(2+3*x).

Solución paso a paso instantánea para sin(3x+2)

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Derivative of sin(3x+2) = 3*cos(2+3*x) Solve step-by-step for free: https://derivativecalculatorai.com/es/derivative-of-sin3x-minus-plus-minus-2

Cómo encontrar la derivada de sin(3x+2)

Para encontrar la derivada de sin(3x+2), usamos reglas de diferenciación estándar. Nuestra calculadora con IA desglosa los pasos y explica la lógica.

Frequently Asked Questions

What is the derivative of sin(3x+2)?▼
The derivative of sin(3x+2) is 3*cos(2+3*x).
How do you find the derivative of sin(3x+2)?▼
Apply the standard differentiation rules — the key rule used here is the Chain Rule. The step-by-step result is 3*cos(2+3*x).
Why is the derivative of sin(3x+2) equal to 3*cos(2+3*x)?▼
Because differentiation measures how a function changes — applying the rules to sin(3x+2) yields 3*cos(2+3*x). See the full step-by-step breakdown above.