Derivada de e^(7x)+x^3
Answer
3*x^2+7*e^(7*x)
Derivative of e^(7x)+x^3
- Rule Used
- Sum Rule
- Steps
- Differentiate + 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: +
A derivada de e^(7*x)+x^3 é 3*x^2+7*e^(7*x).
Solução passo a passo instantânea para e^(7x)+x^3
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Derivative of e^(7x)+x^3 = 3*x^2+7*e^(7*x) Solve step-by-step for free: https://derivativecalculatorai.com/pt/derivative-of-e-minus-to-minus-the-minus-7x-minus-plus-minus-x-minus-to-minus-the-minus-3
Como encontrar a derivada de e^(7x)+x^3
Para encontrar a derivada de e^(7x)+x^3, 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 e^(7x)+x^3?▼
The derivative of e^(7x)+x^3 is 3*x^2+7*e^(7*x).
How do you find the derivative of e^(7x)+x^3?▼
Apply the standard differentiation rules — the key rule used here is the Sum Rule. The step-by-step result is 3*x^2+7*e^(7*x).
Why is the derivative of e^(7x)+x^3 equal to 3*x^2+7*e^(7*x)?▼
Because differentiation measures how a function changes — applying the rules to e^(7x)+x^3 yields 3*x^2+7*e^(7*x). See the full step-by-step breakdown above.