Derivada de sin(5x+4)

Answer

5⋅cos(5⋅x+4)5 \cdot \mathrm{cos}\left(5 \cdot x+4\right)
5*cos(4+5*x)

Derivative of sin(5x+4)

Rule Used
Chain Rule
Steps
  1. Identify a composite function in sin⁡(5⋅x+4)\sin(5 \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: 5⋅c5 \cdot cos(4+5⋅x5 \cdot x)

La derivada de sin(5*x+4) es 5*cos(4+5*x).

Solución paso a paso instantánea para sin(5x+4)

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Derivative of sin(5x+4) = 5*cos(4+5*x) Solve step-by-step for free: https://derivativecalculatorai.com/es/derivative-of-sin5x-minus-plus-minus-4

Cómo encontrar la derivada de sin(5x+4)

Para encontrar la derivada de sin(5x+4), 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(5x+4)?▼
The derivative of sin(5x+4) is 5*cos(4+5*x).
How do you find the derivative of sin(5x+4)?▼
Apply the standard differentiation rules — the key rule used here is the Chain Rule. The step-by-step result is 5*cos(4+5*x).
Why is the derivative of sin(5x+4) equal to 5*cos(4+5*x)?▼
Because differentiation measures how a function changes — applying the rules to sin(5x+4) yields 5*cos(4+5*x). See the full step-by-step breakdown above.