Derivada de (x^2+4)^2
Answer
4*(4+x^2)*x
Derivative of (x^2+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: 4*(4+)*x
La derivada de (x^2+4)^2 es 4*(4+x^2)*x.
Solución paso a paso instantánea para (x^2+4)^2
Share this result
Derivative of (x^2+4)^2 = 4*(4+x^2)*x Solve step-by-step for free: https://derivativecalculatorai.com/es/derivative-of-x-minus-to-minus-the-minus-2-minus-plus-minus-4-minus-to-minus-the-minus-2
Cómo encontrar la derivada de (x^2+4)^2
Para encontrar la derivada de (x^2+4)^2, usamos reglas de diferenciación estándar. Nuestra calculadora con IA desglosa los pasos y explica la lógica.
Practicar Más Problemas
Derivada de 1/x^2
Resolver d/dx 1/x^2
Derivada de 10^x
Resolver d/dx 10^x
Derivada de 2^x
Resolver d/dx 2^x
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 Abs(x)
Resolver d/dx Abs(x)
Derivada de acos(x)
Resolver d/dx acos(x)
Derivada de asin(x)
Resolver d/dx asin(x)
Derivada de atan(x)
Resolver d/dx atan(x)
Frequently Asked Questions
What is the derivative of (x^2+4)^2?▼
The derivative of (x^2+4)^2 is 4*(4+x^2)*x.
How do you find the derivative of (x^2+4)^2?▼
Apply the standard differentiation rules — the key rule used here is the Chain Rule. The step-by-step result is 4*(4+x^2)*x.
Why is the derivative of (x^2+4)^2 equal to 4*(4+x^2)*x?▼
Because differentiation measures how a function changes — applying the rules to (x^2+4)^2 yields 4*(4+x^2)*x. See the full step-by-step breakdown above.