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"If "f(x)=(x-1)^(4)(x-2)^(3)(x-3)^(2)(x-...

`"If "f(x)=(x-1)^(4)(x-2)^(3)(x-3)^(2)(x-4),` then the value of `f'''(1)+f''(2)+f'(3)+f'(4)` equals

A

`(1)/(3)`

B

2

C

3

D

1

Text Solution

Verified by Experts

The correct Answer is:
A, D
`(dy)/(dx)=(2t)/(1+3t^(2))=(1)/(2)`
`rArr" "3t^(2)-4t+1=0`
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