Published by:
CGP EDU Academic Team
Published on: August 12, 2026
Let f(x) = 
f(x) will be
differentiable at x = 1, if
Text Solution
Verified by ExpertsThe correct answer is:
A
Function is diff. at x = 1 it means function is continuous at x = 1, diff. at x = 1
R.H.L. at x = 1 = L.H.L. at x = 1, R.H.D. = L.H.D.
a cos (0) + b = 1
a + b = 1 ........(1)
(–2 a sin (2x – 2) + 2bx) x = 1
= (2x 2 e 2(x – 1) + 2xe 2(x – 1) ) x = 1
0 + 2b = 2 + 2
2b = 4
b = 2
So a = 1 – b = 1 – 2 = – 1
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