Derivada de e^(8x)+x^5
Answer
5*x^4+8*e^(8*x)
Derivative of e^(8x)+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: +
La derivada de e^(8*x)+x^5 es 5*x^4+8*e^(8*x).
Solución paso a paso instantánea para e^(8x)+x^5
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Derivative of e^(8x)+x^5 = 5*x^4+8*e^(8*x) Solve step-by-step for free: https://derivativecalculatorai.com/es/derivative-of-e-minus-to-minus-the-minus-8x-minus-plus-minus-x-minus-to-minus-the-minus-5
Cómo encontrar la derivada de e^(8x)+x^5
Para encontrar la derivada de e^(8x)+x^5, usamos reglas de diferenciación estándar. Nuestra calculadora con IA desglosa los pasos y explica la lógica.
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Frequently Asked Questions
What is the derivative of e^(8x)+x^5?▼
The derivative of e^(8x)+x^5 is 5*x^4+8*e^(8*x).
How do you find the derivative of e^(8x)+x^5?▼
Apply the standard differentiation rules — the key rule used here is the Sum Rule. The step-by-step result is 5*x^4+8*e^(8*x).
Why is the derivative of e^(8x)+x^5 equal to 5*x^4+8*e^(8*x)?▼
Because differentiation measures how a function changes — applying the rules to e^(8x)+x^5 yields 5*x^4+8*e^(8*x). See the full step-by-step breakdown above.