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Find the possible values of `a` such that `f(x)=e^(2x)-(a+1)e^x+2x` is monotonically increasing for `x in Rdot`

A

(3,4)

B

`(-oo,0)`

C

`(-oo,3)`

D

`(3,oo)`

Text Solution

Verified by Experts

The correct Answer is:
B
`f'(x) = 2 e^(2x)-(a+1)e^(x)+2 ge 0AA x in R`
` i.e 2(e^(x)+(1)/(e^(x)))-(a+1)ge0AAx in R`
`implies 4- (a+1)ge0 or a ge 3`
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