find derivative of f(x)= 2/x?
To find the derivative of the function f(x) = 2/x, we can use the quotient rule
To find the derivative of the function f(x) = 2/x, we can use the quotient rule.
The quotient rule states that if we have a function u(x) divided by another function v(x), then the derivative of the quotient can be found as:
(f/g)’ = (f’g – fg’) / (g^2)
In this case, f(x) = 2 and g(x) = x.
Applying the quotient rule, we have:
f'(x) = (2’x – 2 * x’) / (x^2)
= (0 * x – 2 * 1) / (x^2)
= -2 / x^2
Therefore, the derivative of f(x) = 2/x is f'(x) = -2/x^2.
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