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
A derivada de (x^2-4)^2 é 4*(-4+x^2)*x.
Solução passo a passo instantânea para (x^2-4)^2
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Derivative of (x^2-4)^2 = 4*(-4+x^2)*x Solve step-by-step for free: https://derivativecalculatorai.com/pt/derivative-of-x-minus-to-minus-the-minus-2-minus-4-minus-to-minus-the-minus-2
Como encontrar a derivada de (x^2-4)^2
Para encontrar a derivada de (x^2-4)^2, usamos regras de diferenciação padrão. Nossa calculadora com IA detalha os passos e explica a lógica.
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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.