Derivada de (x^3+1)^3
Answer
9*(1+x^3)^2*x^2
Derivative of (x^3+1)^3
- Rule Used
- Chain Rule
- Steps
- Identify a composite function in (+1)^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: 9*(1+)^
La derivada de (x^3+1)^3 es 9*(1+x^3)^2*x^2.
Solución paso a paso instantánea para (x^3+1)^3
Share this result
Derivative of (x^3+1)^3 = 9*(1+x^3)^2*x^2 Solve step-by-step for free: https://derivativecalculatorai.com/es/derivative-of-x-minus-to-minus-the-minus-3-minus-plus-minus-1-minus-to-minus-the-minus-3
Cómo encontrar la derivada de (x^3+1)^3
Para encontrar la derivada de (x^3+1)^3, 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 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
Derivada de sin(x)
Resolver d/dx sin(x)
Frequently Asked Questions
What is the derivative of (x^3+1)^3?▼
The derivative of (x^3+1)^3 is 9*(1+x^3)^2*x^2.
How do you find the derivative of (x^3+1)^3?▼
Apply the standard differentiation rules — the key rule used here is the Chain Rule. The step-by-step result is 9*(1+x^3)^2*x^2.
Why is the derivative of (x^3+1)^3 equal to 9*(1+x^3)^2*x^2?▼
Because differentiation measures how a function changes — applying the rules to (x^3+1)^3 yields 9*(1+x^3)^2*x^2. See the full step-by-step breakdown above.