KCET2011MathematicsDifferentiation
If f(x)= ² x 1+ x + ² x 1+ x , then f^ ( 4 ) is
Options
- A3
- B1 3
- C0
- D- 3
Correct answer
C. 0
Step-by-step solution
Given, f(x)= ² x 1+ x + ² x 1+ x gathered f(x)= ² x 1+ 1 x + ² x 1+ x f(x)= x ² x+ ² x (1+ x) = ³ x+ ³ x ( x+ x) f(x)= ( x+ x) ( x+ x) ( ² x+ ² x . f^ ( 4 )=- 2 ( 4 )=- 2 =0 gathered