Derivada de x^2*y + x*y^2
Answer
2*x*y+y^2
Derivative of x^2*y + x*y^2
- Rule Used
- Sum Rule
- Steps
- Differentiate *y+x* term by term. The sum rule says the derivative of a sum is the sum of the derivatives, and the derivative of a constant term is 0, so that term disappears.
- Final answer: *y+
A derivada de x^2*y + x*y^2 é 2*x*y+y^2.
Solução passo a passo instantânea para x^2*y + x*y^2
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Derivative of x^2*y + x*y^2 = 2*x*y+y^2 Solve step-by-step for free: https://derivativecalculatorai.com/pt/partial-derivative-of-x2y-xy2
Como encontrar a derivada de x^2*y + x*y^2
Para encontrar a derivada de x^2*y + x*y^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*y + x*y^2?▼
The derivative of x^2*y + x*y^2 is 2*x*y+y^2.
How do you find the derivative of x^2*y + x*y^2?▼
Apply the standard differentiation rules — the key rule used here is the Sum Rule. The step-by-step result is 2*x*y+y^2.
Why is the derivative of x^2*y + x*y^2 equal to 2*x*y+y^2?▼
Because differentiation measures how a function changes — applying the rules to x^2*y + x*y^2 yields 2*x*y+y^2. See the full step-by-step breakdown above.