Derivada de (5x-3)^2
Answer
10*(-3+5*x)
Derivative of (5x-3)^2
- Rule Used
- Chain Rule
- Steps
- Identify a composite function in (-3)^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: 10*(-3+)
A derivada de (5*x-3)^2 é 10*(-3+5*x).
Solução passo a passo instantânea para (5x-3)^2
Share this result
Derivative of (5x-3)^2 = 10*(-3+5*x) Solve step-by-step for free: https://derivativecalculatorai.com/pt/derivative-of-5x-minus-3-minus-to-minus-the-minus-2
Como encontrar a derivada de (5x-3)^2
Para encontrar a derivada de (5x-3)^2, usamos regras de diferenciação padrão. Nossa calculadora com IA detalha os passos e explica a lógica.
Praticar Mais Problemas
Derivada de 1-x
Resolver d/dx 1-x
Derivada de 1/x
Resolver d/dx 1/x
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 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)
Derivada de x^(1/3)
Resolver d/dx x^(1/3)
Frequently Asked Questions
What is the derivative of (5x-3)^2?▼
The derivative of (5x-3)^2 is 10*(-3+5*x).
How do you find the derivative of (5x-3)^2?▼
Apply the standard differentiation rules — the key rule used here is the Chain Rule. The step-by-step result is 10*(-3+5*x).
Why is the derivative of (5x-3)^2 equal to 10*(-3+5*x)?▼
Because differentiation measures how a function changes — applying the rules to (5x-3)^2 yields 10*(-3+5*x). See the full step-by-step breakdown above.