Derivada de (5x+5)^2
Answer
10*(5+5*x)
Derivative of (5x+5)^2
- Rule Used
- Chain Rule
- Steps
- Identify a composite function in (+5)^2: use the chain rule = f'(g(x))·g'(x). The inner derivative is required because a stretch or shift of the input changes how fast the output moves.
- Differentiate the outer function, then multiply by the inner derivative.
- Final answer: 10*(5+)
La derivada de (5*x+5)^2 es 10*(5+5*x).
Solución paso a paso instantánea para (5x+5)^2
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Derivative of (5x+5)^2 = 10*(5+5*x) Solve step-by-step for free: https://derivativecalculatorai.com/es/derivative-of-5x-minus-plus-minus-5-minus-to-minus-the-minus-2
Cómo encontrar la derivada de (5x+5)^2
Para encontrar la derivada de (5x+5)^2, usamos reglas de diferenciación estándar. Nuestra calculadora con IA desglosa los pasos y explica la lógica.
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Frequently Asked Questions
What is the derivative of (5x+5)^2?▼
The derivative of (5x+5)^2 is 10*(5+5*x).
How do you find the derivative of (5x+5)^2?▼
Apply the standard differentiation rules — the key rule used here is the Chain Rule. The step-by-step result is 10*(5+5*x).
Why is the derivative of (5x+5)^2 equal to 10*(5+5*x)?▼
Because differentiation measures how a function changes — applying the rules to (5x+5)^2 yields 10*(5+5*x). See the full step-by-step breakdown above.