Derivada de sin(x)/x^5
Answer
-5*sin(x)*x^(-6)+cos(x)*x^(-5)
Derivative of sin(x)/x^5
- Rule Used
- Quotient Rule
- Steps
- Identify a quotient in /: use the quotient rule (u/v)' = (u'v − uv')/v². The minus sign belongs to the derivative of the denominator; swapping it is the usual error.
- Differentiate numerator and denominator, then combine.
- Final answer: -in(x)*+*
La derivada de sin(x)/x^5 es -5*sin(x)*x^(-6)+cos(x)*x^(-5).
Solución paso a paso instantánea para sin(x)/x^5
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Derivative of sin(x)/x^5 = -5*sin(x)*x^(-6)+cos(x)*x^(-5) Solve step-by-step for free: https://derivativecalculatorai.com/es/derivative-of-sinx-minus-over-minus-x-minus-to-minus-the-minus-5
Cómo encontrar la derivada de sin(x)/x^5
Para encontrar la derivada de sin(x)/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 sin(x)/x^5?▼
The derivative of sin(x)/x^5 is -5*sin(x)*x^(-6)+cos(x)*x^(-5).
How do you find the derivative of sin(x)/x^5?▼
Apply the standard differentiation rules — the key rule used here is the Quotient Rule. The step-by-step result is -5*sin(x)*x^(-6)+cos(x)*x^(-5).
Why is the derivative of sin(x)/x^5 equal to -5*sin(x)*x^(-6)+cos(x)*x^(-5)?▼
Because differentiation measures how a function changes — applying the rules to sin(x)/x^5 yields -5*sin(x)*x^(-6)+cos(x)*x^(-5). See the full step-by-step breakdown above.