Derivada de (3x+2)^3
Answer
9*(2+3*x)^2
Derivative of (3x+2)^3
- Rule Used
- Chain Rule
- Steps
- Identify a composite function in (+2)^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: 9*(2+)^2
A derivada de (3*x+2)^3 é 9*(2+3*x)^2.
Solução passo a passo instantânea para (3x+2)^3
Share this result
Derivative of (3x+2)^3 = 9*(2+3*x)^2 Solve step-by-step for free: https://derivativecalculatorai.com/pt/derivative-of-3x-minus-plus-minus-2-minus-to-minus-the-minus-3
Como encontrar a derivada de (3x+2)^3
Para encontrar a derivada de (3x+2)^3, usamos regras de diferenciação padrão. Nossa calculadora com IA detalha os passos e explica a lógica.
Praticar Mais Problemas
Derivada de sin(x)^2
Resolver d/dx sin(x)^2
Derivada de sin(x)
Resolver d/dx sin(x)
Derivada de sinh(x)
Resolver d/dx sinh(x)
Derivada de sqrt(x)
Resolver d/dx sqrt(x)
Derivada de tan(x)^2
Resolver d/dx tan(x)^2
Derivada de tan(x)
Resolver d/dx tan(x)
Derivada de tanh(x)
Resolver d/dx tanh(x)
Derivada de x*cos(x)
Resolver d/dx x*cos(x)
Derivada de x^3
Resolver d/dx x^3
Derivada de x*e^x
Resolver d/dx x*e^x
Frequently Asked Questions
What is the derivative of (3x+2)^3?▼
The derivative of (3x+2)^3 is 9*(2+3*x)^2.
How do you find the derivative of (3x+2)^3?▼
Apply the standard differentiation rules — the key rule used here is the Chain Rule. The step-by-step result is 9*(2+3*x)^2.
Why is the derivative of (3x+2)^3 equal to 9*(2+3*x)^2?▼
Because differentiation measures how a function changes — applying the rules to (3x+2)^3 yields 9*(2+3*x)^2. See the full step-by-step breakdown above.