f(x) = (4x + 1)/(x - 2). Find f'(x)
Quotient rule: (vu' - uv')/v^2
u = 4x + 1
u' = 4
v = x - 2
v' = 1
Input into formula:
[(x - 2)(4) - (4x + 1)(1)](x - 2)^2
Simplify:
[4x - 8 -4x - 1]/(x - 2)^2
= -9/(x - 2)^2
SS
Quotient rule: (vu' - uv')/v^2
u = 4x + 1
u' = 4
v = x - 2
v' = 1
Input into formula:
[(x - 2)(4) - (4x + 1)(1)](x - 2)^2
Simplify:
[4x - 8 -4x - 1]/(x - 2)^2
= -9/(x - 2)^2