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

Related Maths A Level answers

All answers ▸

How to do Integration by Parts?


A particle is in equilibrium under the action of four horizontal forces of magnitudes 5 newtons acting vertically upwards ,8 newtons acting 30 degrees from the horizontal towards the left,P newtons acting vertically downwards and Q newtons acting to right


A line L is parallel to y = 4x+5 and passes through the point (-1,6). Find the equation of the line L in the form y = ax+b.


If n is an integer prove (n+3)^(2)-n^(2) is never even.