Derivada de (3x+4)^2
Answer
6*(3*x+4)
Derivative of (3x+4)^2
- Rule Used
- Chain Rule
- Steps
- Identify a composite function in (+4)^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: 6*(+4)
La derivada de (3*x+4)^2 es 6*(3*x+4).
Solución paso a paso instantánea para (3x+4)^2
Share this result
Derivative of (3x+4)^2 = 6*(3*x+4) Solve step-by-step for free: https://derivativecalculatorai.com/es/derivative-of-3x-minus-plus-minus-4-minus-to-minus-the-minus-2
Cómo encontrar la derivada de (3x+4)^2
Para encontrar la derivada de (3x+4)^2, usamos reglas de diferenciación estándar. Nuestra calculadora con IA desglosa los pasos y explica la lógica.
Practicar Más Problemas
Derivada de x+1
Resolver d/dx x+1
Derivada de x*sin(x)
Resolver d/dx x*sin(x)
Derivada de x^2
Resolver d/dx x^2
Derivada de x^2-1
Resolver d/dx x^2-1
Derivada de x^2+1
Resolver d/dx x^2+1
Derivada de x^4
Resolver d/dx x^4
Derivada de 2x
Resolver d/dx 2x
Derivada de 3x^2
Resolver d/dx 3x^2
Derivada de 5x
Resolver d/dx 5x
Derivada de 1-x
Resolver d/dx 1-x
Frequently Asked Questions
What is the derivative of (3x+4)^2?▼
The derivative of (3x+4)^2 is 6*(3*x+4).
How do you find the derivative of (3x+4)^2?▼
Apply the standard differentiation rules — the key rule used here is the Chain Rule. The step-by-step result is 6*(3*x+4).
Why is the derivative of (3x+4)^2 equal to 6*(3*x+4)?▼
Because differentiation measures how a function changes — applying the rules to (3x+4)^2 yields 6*(3*x+4). See the full step-by-step breakdown above.