Derivada de x^6*atan(x)
Answer
(1+x^2)^(-1)*x^6+6*atan(x)*x^5
Derivative of x^6*atan(x)
- Rule Used
- Product Rule
- Steps
- Identify a product of two functions of x in *: use the product rule (uv)' = u'v + uv'. Each factor is differentiated once while the other is held as-is, then the two terms are added.
- Differentiate each factor and combine.
- Final answer: (1+)^(-1)*+*
La derivada de x^6*atan(x) es (1+x^2)^(-1)*x^6+6*atan(x)*x^5.
Solución paso a paso instantánea para x^6*atan(x)
Share this result
Derivative of x^6*atan(x) = (1+x^2)^(-1)*x^6+6*atan(x)*x^5 Solve step-by-step for free: https://derivativecalculatorai.com/es/derivative-of-x-minus-to-minus-the-minus-6atanx
Cómo encontrar la derivada de x^6*atan(x)
Para encontrar la derivada de x^6*atan(x), usamos reglas de diferenciación estándar. Nuestra calculadora con IA desglosa los pasos y explica la lógica.
Practicar Más Problemas
Derivada de sec(x)
Resolver d/dx sec(x)
Derivada de sin(2x)
Resolver d/dx sin(2x)
Derivada de sin(x)^2
Resolver d/dx sin(x)^2
Derivada de sin(x)
Resolver d/dx sin(x)
Derivada de sinh(x)
Resolver d/dx sinh(x)
Derivada de sqrt(x)
Resolver d/dx sqrt(x)
Derivada de tan(x)^2
Resolver d/dx tan(x)^2
Derivada de tan(x)
Resolver d/dx tan(x)
Derivada de tanh(x)
Resolver d/dx tanh(x)
Derivada de x*cos(x)
Resolver d/dx x*cos(x)
Frequently Asked Questions
What is the derivative of x^6*atan(x)?▼
The derivative of x^6*atan(x) is (1+x^2)^(-1)*x^6+6*atan(x)*x^5.
How do you find the derivative of x^6*atan(x)?▼
Apply the standard differentiation rules — the key rule used here is the Product Rule. The step-by-step result is (1+x^2)^(-1)*x^6+6*atan(x)*x^5.
Why is the derivative of x^6*atan(x) equal to (1+x^2)^(-1)*x^6+6*atan(x)*x^5?▼
Because differentiation measures how a function changes — applying the rules to x^6*atan(x) yields (1+x^2)^(-1)*x^6+6*atan(x)*x^5. See the full step-by-step breakdown above.