Derivada de acos(x/6)
Answer
(-1/6)*sqrt((-1/36)*x^2+1)^(-1)
Derivative of acos(x/6)
- Rule Used
- Chain Rule
- Steps
- Identify a composite function in : use the chain rule = f'(g(x))·g'(x). The inner derivative is required because a stretch or shift of the input changes how fast the output moves.
- Differentiate the outer function, then multiply by the inner derivative.
- Final answer: (-1/6)*
La derivada de acos(x/6) es (-1/6)*sqrt((-1/36)*x^2+1)^(-1).
Solución paso a paso instantánea para acos(x/6)
Share this result
Derivative of acos(x/6) = (-1/6)*sqrt((-1/36)*x^2+1)^(-1) Solve step-by-step for free: https://derivativecalculatorai.com/es/derivative-of-acosx-minus-over-minus-6
Cómo encontrar la derivada de acos(x/6)
Para encontrar la derivada de acos(x/6), 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 acos(x/6)?▼
The derivative of acos(x/6) is (-1/6)*sqrt((-1/36)*x^2+1)^(-1).
How do you find the derivative of acos(x/6)?▼
Apply the standard differentiation rules — the key rule used here is the Chain Rule. The step-by-step result is (-1/6)*sqrt((-1/36)*x^2+1)^(-1).
Why is the derivative of acos(x/6) equal to (-1/6)*sqrt((-1/36)*x^2+1)^(-1)?▼
Because differentiation measures how a function changes — applying the rules to acos(x/6) yields (-1/6)*sqrt((-1/36)*x^2+1)^(-1). See the full step-by-step breakdown above.