Derivada de (2x-2)^2
Answer
4*(-2+2*x)
Derivative of (2x-2)^2
- Rule Used
- Chain Rule
- Steps
- Identify a composite function in (-2)^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*(-2+)
A derivada de (2*x-2)^2 é 4*(-2+2*x).
Solução passo a passo instantânea para (2x-2)^2
Share this result
Derivative of (2x-2)^2 = 4*(-2+2*x) Solve step-by-step for free: https://derivativecalculatorai.com/pt/derivative-of-2x-minus-2-minus-to-minus-the-minus-2
Como encontrar a derivada de (2x-2)^2
Para encontrar a derivada de (2x-2)^2, usamos regras de diferenciação padrão. Nossa calculadora com IA detalha os passos e explica a lógica.
Praticar Mais Problemas
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)
Derivada de x^(1/3)
Resolver d/dx x^(1/3)
Derivada de cos(2x)
Resolver d/dx cos(2x)
Derivada de cos(x)^2
Resolver d/dx cos(x)^2
Derivada de cos(x)
Resolver d/dx cos(x)
Derivada de cosh(x)
Resolver d/dx cosh(x)
Derivada de cot(x)
Resolver d/dx cot(x)
Derivada de csc(x)
Resolver d/dx csc(x)
Frequently Asked Questions
What is the derivative of (2x-2)^2?▼
The derivative of (2x-2)^2 is 4*(-2+2*x).
How do you find the derivative of (2x-2)^2?▼
Apply the standard differentiation rules — the key rule used here is the Chain Rule. The step-by-step result is 4*(-2+2*x).
Why is the derivative of (2x-2)^2 equal to 4*(-2+2*x)?▼
Because differentiation measures how a function changes — applying the rules to (2x-2)^2 yields 4*(-2+2*x). See the full step-by-step breakdown above.