Derivada de (3x-2)^4
Answer
12*(-2+3*x)^3
Derivative of (3x-2)^4
- Rule Used
- Chain Rule
- Steps
- Identify a composite function in (-2)^4: 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: 12*(-2+)^3
La derivada de (3*x-2)^4 es 12*(-2+3*x)^3.
Solución paso a paso instantánea para (3x-2)^4
Share this result
Derivative of (3x-2)^4 = 12*(-2+3*x)^3 Solve step-by-step for free: https://derivativecalculatorai.com/es/derivative-of-3x-minus-2-minus-to-minus-the-minus-4
Cómo encontrar la derivada de (3x-2)^4
Para encontrar la derivada de (3x-2)^4, usamos reglas de diferenciación estándar. Nuestra calculadora con IA desglosa los pasos y explica la lógica.
Practicar Más Problemas
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
Derivada de sin(x)
Resolver d/dx sin(x)
Derivada de sinh(x)
Resolver d/dx sinh(x)
Derivada de sqrt(x)
Resolver d/dx sqrt(x)
Derivada de tan(x)^2
Resolver d/dx tan(x)^2
Frequently Asked Questions
What is the derivative of (3x-2)^4?▼
The derivative of (3x-2)^4 is 12*(-2+3*x)^3.
How do you find the derivative of (3x-2)^4?▼
Apply the standard differentiation rules — the key rule used here is the Chain Rule. The step-by-step result is 12*(-2+3*x)^3.
Why is the derivative of (3x-2)^4 equal to 12*(-2+3*x)^3?▼
Because differentiation measures how a function changes — applying the rules to (3x-2)^4 yields 12*(-2+3*x)^3. See the full step-by-step breakdown above.