Derivada de (x^2-4)^3
Answer
6*(-4+x^2)^2*x
Derivative of (x^2-4)^3
- Rule Used
- Chain Rule
- Steps
- Identify a composite function in (-4)^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: 6*(-4+)^
La derivada de (x^2-4)^3 es 6*(-4+x^2)^2*x.
Solución paso a paso instantánea para (x^2-4)^3
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Derivative of (x^2-4)^3 = 6*(-4+x^2)^2*x Solve step-by-step for free: https://derivativecalculatorai.com/es/derivative-of-x-minus-to-minus-the-minus-2-minus-4-minus-to-minus-the-minus-3
Cómo encontrar la derivada de (x^2-4)^3
Para encontrar la derivada de (x^2-4)^3, usamos reglas de diferenciación estándar. Nuestra calculadora con IA desglosa los pasos y explica la lógica.
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Frequently Asked Questions
What is the derivative of (x^2-4)^3?▼
The derivative of (x^2-4)^3 is 6*(-4+x^2)^2*x.
How do you find the derivative of (x^2-4)^3?▼
Apply the standard differentiation rules — the key rule used here is the Chain Rule. The step-by-step result is 6*(-4+x^2)^2*x.
Why is the derivative of (x^2-4)^3 equal to 6*(-4+x^2)^2*x?▼
Because differentiation measures how a function changes — applying the rules to (x^2-4)^3 yields 6*(-4+x^2)^2*x. See the full step-by-step breakdown above.