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Let set of all possible values of `lamda` such that `f (x)= e ^(2x) - (lamda+1) e ^(x) +2x` is monotonically increasing for `AA x in R` is `(-oo, k].` Find the value of k.

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VK JAISWAL ENGLISH-APPLICATION OF DERIVATIVES -EXERCISE (SUBJECTIVE TYPE PROBLEMS)
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  2. Let f (x)= {{:( xe ^(ax)"," , x le 0),( x+ ax ^(2)-x ^(3)"," , x gt 0)...

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  13. Let f (x) =x ^(2) +2x -t ^(2) and f(x)=0 has two root alpha (t ) and b...

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  15. If f (x) is continous and differentiable in [-3,9] and f'(x) in [-2,8]...

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  16. It is given that f (x) is defined on R satisfying f (1)=1 and for AA ...

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  17. The number of normals to the curve 3y ^(3) =4x which passes through th...

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  18. Find the number of real root (s) of the equation ae ^(x) =1+ x + (x ^(...

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  20. If p (1) and p(2) are the lengths of the perpendiculars from origin on...

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