Published by:
CGP EDU Academic Team
Published on: August 11, 2026
If 5f(x) + 
= x + 2 and y = x f(x) then 
is equal to -
A
14
B
C
1
D
None of these
Text Solution
Verified by ExpertsThe correct answer is:
B
5f(x) + 
= x + 2 .....(i)
Replacing x by 
in (i),
= 
+ 2 ....(ii)
On solving equation (i) and (ii), we get,
16 f(x) = 5x – 
+ 4,
∴ 16 f ′ (x) = 5 + 
y = xf(x) ⇒ 
= f(x) + xf ′ (x)
= 
at x = 1, 
= 
(5 – 3 + 4) + 
(5 + 3) = 
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