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For what values of a does the curve f(x)...

For what values of a does the curve `f(x)=x(a^2-2a-2)+cosx` is always strictly monotonic decreasing `AA x in R`

A

`a in R`

B

`|a| lt sqrt(2)`

C

`1-sqrt(2) le a le 1 + sqrt(2)`

D

`|a| lt sqrt(2)-1`

Text Solution

Verified by Experts

The correct Answer is:
C
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