Derivada de e^(4x)+x^5
Answer
4*e^(4*x)+5*x^4
Derivative of e^(4x)+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^(4*x)+x^5 é 4*e^(4*x)+5*x^4.
Solução passo a passo instantânea para e^(4x)+x^5
Share this result
Derivative of e^(4x)+x^5 = 4*e^(4*x)+5*x^4 Solve step-by-step for free: https://derivativecalculatorai.com/pt/derivative-of-e-minus-to-minus-the-minus-4x-minus-plus-minus-x-minus-to-minus-the-minus-5
Como encontrar a derivada de e^(4x)+x^5
Para encontrar a derivada de e^(4x)+x^5, 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^2
Resolver d/dx 1/x^2
Derivada de 2x
Resolver d/dx 2x
Derivada de 3x^2
Resolver d/dx 3x^2
Derivada de 5x
Resolver d/dx 5x
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 e^(4x)+x^5?▼
The derivative of e^(4x)+x^5 is 4*e^(4*x)+5*x^4.
How do you find the derivative of e^(4x)+x^5?▼
Apply the standard differentiation rules — the key rule used here is the Sum Rule. The step-by-step result is 4*e^(4*x)+5*x^4.
Why is the derivative of e^(4x)+x^5 equal to 4*e^(4*x)+5*x^4?▼
Because differentiation measures how a function changes — applying the rules to e^(4x)+x^5 yields 4*e^(4*x)+5*x^4. See the full step-by-step breakdown above.