Question

Find the derivative of f(x) = 3/x at x = 1

Answer 1

- 3

Explanation:

Differentiate f(x) using the power rule

`(d)/(dx)`(a
`x^(n)` ) = na
`x^(n-1)`

Given f(x) =
`(3)/(x)` = 3
`x^(-1)`, then

f'(x) = - 3
`x^(-2)` = -
`(3)/(x^2)`

f'(1) = -
`(3)/(1)` = - 3