Question

Nth order derivative of y=x/(x-1)⁵​?

Answer 1

To find the nth order derivative of y = x/(x-1)^5, we can use the quotient rule.

Step-by-step explanation:

To find the nth order derivative of y = x/(x-1)^5, we can use the quotient rule. The quotient rule states that for a function f(x) = g(x)/h(x), where g(x) and h(x) are both differentiable, the nth derivative of f(x) is given by:

f(n)(x) = (g(n)(x) * h(x) - g(x) * h(n)(x)) / (h(x))(n+1)

Using this rule, we can differentiate y = x/(x-1)^5 step by step to find the nth derivative.