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