Derivada de e^(5x)+x^5
Answer
5*e^(5*x)+5*x^4
Derivative of e^(5x)+x^5
- 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^(5*x)+x^5 é 5*e^(5*x)+5*x^4.
Solução passo a passo instantânea para e^(5x)+x^5
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Derivative of e^(5x)+x^5 = 5*e^(5*x)+5*x^4 Solve step-by-step for free: https://derivativecalculatorai.com/pt/derivative-of-e-minus-to-minus-the-minus-5x-minus-plus-minus-x-minus-to-minus-the-minus-5
Como encontrar a derivada de e^(5x)+x^5
Para encontrar a derivada de e^(5x)+x^5, 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^(5x)+x^5?▼
The derivative of e^(5x)+x^5 is 5*e^(5*x)+5*x^4.
How do you find the derivative of e^(5x)+x^5?▼
Apply the standard differentiation rules — the key rule used here is the Sum Rule. The step-by-step result is 5*e^(5*x)+5*x^4.
Why is the derivative of e^(5x)+x^5 equal to 5*e^(5*x)+5*x^4?▼
Because differentiation measures how a function changes — applying the rules to e^(5x)+x^5 yields 5*e^(5*x)+5*x^4. See the full step-by-step breakdown above.