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