Derivada de e^(7x)+x^2
Answer
2*x+7*e^(7*x)
Derivative of e^(7x)+x^2
- 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^2 é 2*x+7*e^(7*x).
Solução passo a passo instantânea para e^(7x)+x^2
Share this result
Derivative of e^(7x)+x^2 = 2*x+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-2
Como encontrar a derivada de e^(7x)+x^2
Para encontrar a derivada de e^(7x)+x^2, usamos regras de diferenciação padrão. Nossa calculadora com IA detalha os passos e explica a lógica.
Praticar Mais Problemas
Derivada de x*ln(x)
Resolver d/dx x*ln(x)
Derivada de x+1
Resolver d/dx x+1
Derivada de x*sin(x)
Resolver d/dx x*sin(x)
Derivada de x^2
Resolver d/dx x^2
Derivada de x^2-1
Resolver d/dx x^2-1
Derivada de x^2+1
Resolver d/dx x^2+1
Derivada de x^4
Resolver d/dx x^4
Derivada de 10^x
Resolver d/dx 10^x
Derivada de 2^x
Resolver d/dx 2^x
Derivada de e^(2x)
Resolver d/dx e^(2x)
Frequently Asked Questions
What is the derivative of e^(7x)+x^2?▼
The derivative of e^(7x)+x^2 is 2*x+7*e^(7*x).
How do you find the derivative of e^(7x)+x^2?▼
Apply the standard differentiation rules — the key rule used here is the Sum Rule. The step-by-step result is 2*x+7*e^(7*x).
Why is the derivative of e^(7x)+x^2 equal to 2*x+7*e^(7*x)?▼
Because differentiation measures how a function changes — applying the rules to e^(7x)+x^2 yields 2*x+7*e^(7*x). See the full step-by-step breakdown above.