Derivada de (4x+2)^2

Answer

8(4⋅x+2)8\left(4 \cdot x+2\right)
8*(2+4*x)

Derivative of (4x+2)^2

Rule Used
Chain Rule
Steps
  1. Identify a composite function in (4⋅x4 \cdot x+2)^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: 8*(2+4⋅x4 \cdot x)

La derivada de (4*x+2)^2 es 8*(2+4*x).

Solución paso a paso instantánea para (4x+2)^2

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Derivative of (4x+2)^2 = 8*(2+4*x) Solve step-by-step for free: https://derivativecalculatorai.com/es/derivative-of-4x-minus-plus-minus-2-minus-to-minus-the-minus-2

Cómo encontrar la derivada de (4x+2)^2

Para encontrar la derivada de (4x+2)^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 (4x+2)^2?▼
The derivative of (4x+2)^2 is 8*(2+4*x).
How do you find the derivative of (4x+2)^2?▼
Apply the standard differentiation rules — the key rule used here is the Chain Rule. The step-by-step result is 8*(2+4*x).
Why is the derivative of (4x+2)^2 equal to 8*(2+4*x)?▼
Because differentiation measures how a function changes — applying the rules to (4x+2)^2 yields 8*(2+4*x). See the full step-by-step breakdown above.