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 differentiate with respect to x, xsin2x.


Write (3 + 2√5)/(7 + 3√5) in the form a + b√5


A curve is given by the equation y = (1/3)x^3 -4x^2 +12x -19. Find the co-ordinates of any stationary points and determine whether they are maximum or minimun points.


Find the equation to the tangent to the curve x=cos(2y+pi) at (0, pi/4)