Derivada de (2x+5)^2

Answer

4(2⋅x+5)4\left(2 \cdot x+5\right)
4*(2*x+5)

Derivative of (2x+5)^2

Rule Used
Chain Rule
Steps
  1. Identify a composite function in (2⋅x2 \cdot x+5)^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: 4*(2⋅x2 \cdot x+5)

La derivada de (2*x+5)^2 es 4*(2*x+5).

Solución paso a paso instantánea para (2x+5)^2

Share this result
Share on X

Derivative of (2x+5)^2 = 4*(2*x+5) Solve step-by-step for free: https://derivativecalculatorai.com/es/derivative-of-2x-minus-plus-minus-5-minus-to-minus-the-minus-2

Cómo encontrar la derivada de (2x+5)^2

Para encontrar la derivada de (2x+5)^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 (2x+5)^2?▼
The derivative of (2x+5)^2 is 4*(2*x+5).
How do you find the derivative of (2x+5)^2?▼
Apply the standard differentiation rules — the key rule used here is the Chain Rule. The step-by-step result is 4*(2*x+5).
Why is the derivative of (2x+5)^2 equal to 4*(2*x+5)?▼
Because differentiation measures how a function changes — applying the rules to (2x+5)^2 yields 4*(2*x+5). See the full step-by-step breakdown above.