Let f (x) = 4√x−2 ⇒ f (x) = 4x

1

2

−2 ... (i)
Differentiating (i) with respect to x, we get

d

dx

(f (x)) =

1

2

×4x

1

2

−1 - 0
=

1

2

×4x−

1

2

= 2x−

1

2

=

2

x 1 2