Published by:
CGP EDU Academic Team
Published on: August 14, 2026
Let 
, if 
then n is equal to______.
Text Solution
Verified by ExpertsThe correct answer is:
10
(10)
Given,
f(x)= x + 2x 2 + 3x 3 +.........+ 10x 10
Now let S = x + 2x 2 + 3x 3 +.........+ 10x 10
So, S.x = x 2 + 2x 3 +............+ 9x 10 + 10x 11
Now subtracting above equations we get,
S(1 - x)= x + x 2 + x 3 +......+ x 10 – 10x 11
Now finding, f(b)= 2(1 - 2 10 )+10.2 11 
f(b)= 2 + 18.2
10 Now finding f'(x) we get,
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