Derivada de e^(7x)+x^4
Answer
4*x^3+7*e^(7*x)
Derivative of e^(7x)+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^(7*x)+x^4 es 4*x^3+7*e^(7*x).
Solución paso a paso instantánea para e^(7x)+x^4
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Derivative of e^(7x)+x^4 = 4*x^3+7*e^(7*x) Solve step-by-step for free: https://derivativecalculatorai.com/es/derivative-of-e-minus-to-minus-the-minus-7x-minus-plus-minus-x-minus-to-minus-the-minus-4
Cómo encontrar la derivada de e^(7x)+x^4
Para encontrar la derivada de e^(7x)+x^4, 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^(7x)+x^4?▼
The derivative of e^(7x)+x^4 is 4*x^3+7*e^(7*x).
How do you find the derivative of e^(7x)+x^4?▼
Apply the standard differentiation rules — the key rule used here is the Sum Rule. The step-by-step result is 4*x^3+7*e^(7*x).
Why is the derivative of e^(7x)+x^4 equal to 4*x^3+7*e^(7*x)?▼
Because differentiation measures how a function changes — applying the rules to e^(7x)+x^4 yields 4*x^3+7*e^(7*x). See the full step-by-step breakdown above.