Final answer:
To find the derivative of f(x) = √ [5] / {x}, apply the power rule for differentiation.
Step-by-step explanation:
To find the derivative of f(x)=√ [5] / {x}, we can use the power rule for differentiation. The power rule states that if we have a function of the form f(x) = ax^n, then its derivative is f'(x) = anx^(n-1). In our case, the constant √ [5] can be written as 5^(1/2), so we have f(x) = 5^(1/2)/x.
- Apply the power rule: f'(x) = (1/2)(5^(1/2))/x^2
Therefore, the derivative of f(x) = 5^(1/2)/x is (1/2)(5^(1/2))/x^2.