Derivada de e^(4x)+x^4
Answer
4*e^(4*x)+4*x^3
Derivative of e^(4x)+x^4
- 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: +
La derivada de e^(4*x)+x^4 es 4*e^(4*x)+4*x^3.
Solución paso a paso instantánea para e^(4x)+x^4
Share this result
Derivative of e^(4x)+x^4 = 4*e^(4*x)+4*x^3 Solve step-by-step for free: https://derivativecalculatorai.com/es/derivative-of-e-minus-to-minus-the-minus-4x-minus-plus-minus-x-minus-to-minus-the-minus-4
Cómo encontrar la derivada de e^(4x)+x^4
Para encontrar la derivada de e^(4x)+x^4, usamos reglas de diferenciación estándar. Nuestra calculadora con IA desglosa los pasos y explica la lógica.
Practicar Más Problemas
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)
Derivada de cos(2x)
Resolver d/dx cos(2x)
Derivada de cos(x)^2
Resolver d/dx cos(x)^2
Derivada de cos(x)
Resolver d/dx cos(x)
Derivada de cosh(x)
Resolver d/dx cosh(x)
Derivada de cot(x)
Resolver d/dx cot(x)
Derivada de csc(x)
Resolver d/dx csc(x)
Derivada de ln(2x)
Resolver d/dx ln(2x)
Frequently Asked Questions
What is the derivative of e^(4x)+x^4?▼
The derivative of e^(4x)+x^4 is 4*e^(4*x)+4*x^3.
How do you find the derivative of e^(4x)+x^4?▼
Apply the standard differentiation rules — the key rule used here is the Sum Rule. The step-by-step result is 4*e^(4*x)+4*x^3.
Why is the derivative of e^(4x)+x^4 equal to 4*e^(4*x)+4*x^3?▼
Because differentiation measures how a function changes — applying the rules to e^(4x)+x^4 yields 4*e^(4*x)+4*x^3. See the full step-by-step breakdown above.