Derivada de cos(4x+3)

Answer

−4⋅sin(4⋅x+3)-4 \cdot \mathrm{sin}\left(4 \cdot x+3\right)
-4*sin(3+4*x)

Derivative of cos(4x+3)

Rule Used
Chain Rule
Steps
  1. Identify a composite function in cos⁡(4⋅x+3)\cos(4 \cdot x+3): 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⋅s4 \cdot sin(3+4⋅x4 \cdot x)

La derivada de cos(4*x+3) es -4*sin(3+4*x).

Solución paso a paso instantánea para cos(4x+3)

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Derivative of cos(4x+3) = -4*sin(3+4*x) Solve step-by-step for free: https://derivativecalculatorai.com/es/derivative-of-cos4x-minus-plus-minus-3

Cómo encontrar la derivada de cos(4x+3)

Para encontrar la derivada de cos(4x+3), usamos reglas de diferenciación estándar. Nuestra calculadora con IA desglosa los pasos y explica la lógica.

Frequently Asked Questions

What is the derivative of cos(4x+3)?▼
The derivative of cos(4x+3) is -4*sin(3+4*x).
How do you find the derivative of cos(4x+3)?▼
Apply the standard differentiation rules — the key rule used here is the Chain Rule. The step-by-step result is -4*sin(3+4*x).
Why is the derivative of cos(4x+3) equal to -4*sin(3+4*x)?▼
Because differentiation measures how a function changes — applying the rules to cos(4x+3) yields -4*sin(3+4*x). See the full step-by-step breakdown above.