2010002007

SubArea: 
Derivative
Level: 
B
Project ID: 
2010002007
Source Problem: 
9000063105
Accepted: 
0
Clonable: 
1
Easy: 
0
Differentiate the following function. \[ f(x) = \frac{\sqrt{x} +2} {2-\sqrt{x} } \]
\(f'(x) = \frac{2} {\sqrt{x}}\frac{1}{(2-\sqrt{x})^{2}}, \ x \in (0 ;4)\cup (4;\infty) \)
\(f'(x) = \frac{\sqrt{x}} {2(2-\sqrt{x})^2}, \ x \in (0 ;4) \cup (4;\infty) \)
\(f'(x) = \frac{1} {(2-\sqrt{x})^2}, \ x \in (0 ;4) \cup (4;\infty) \)
\(f'(x) = \frac{1} {x(2-\sqrt{x})^2}, \ x \in (0 ;4) \cup (4;\infty) \)