Question

1. Find the derivative of
`f(x)=6/x` at x=-2

2. Find the derivative of f(x)=-9/x at x=6

Answer 1

1) Answer:
`-(3)/(2)`

Explanation:

f(x) = 6x⁻¹

f'(x) = -6x⁻²

=
`(-6)/(x^(2))`

f'(-2) =
`(-6)/((-2)^(2))`

=
`-(6)/(4)`

=
`-(3)/(2)`

*****************************************************

2) Answer:
`(1)/(4)`

Explanation:

f(x) = -9x⁻¹

f'(x) = 9x⁻²

=
`(9)/(x^(2))`

f'(6) =
`(9)/((6)^(2))`

=
`(9)/(36)`

=
`(1)/(4)`