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Prove that e^x+sqrt(1+e^(2x))geq(1+x)+sq...

Prove that `e^x+sqrt(1+e^(2x))geq(1+x)+sqrt(2+2x+x^2)AAx in R`

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RESONANCE ENGLISH-APPLICATION OF DERIVATIVES-High Level Problems (HLP)
  1. Find positive real numbers 'a' and 'b' such that f(x) =ax-bx^(3) has...

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  2. For any acute angled triangleABC,(sinA)/(A)+(sinB)/(B)+(sinC)/(C ) can

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  3. Find the minimum value of f(x) =8^(x) +8^(-x) -4(4^(x)+4^(-x)) , AA x ...

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  4. Show that height of the cylinder of greatest volume which can be in...

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  5. The cosine of the angle at the vertex of an isosceles triangle having ...

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  6. A cone is made from a circular sheet of radius sqrt3 by cutting out a ...

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  7. Suppose velocity of waves of wave length lambda in the Atlantic ocea...

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  8. Find the minimum distance of origin from the curve ax^(2) +2bxy+ay^(2)...

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  9. Prove that e^x+sqrt(1+e^(2x))geq(1+x)+sqrt(2+2x+x^2)AAx in R

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  10. Find which of the two larger log(1+x) " or " (tan^(-1)x)/(1+x).

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  11. Letf'(sin x)lt0 and f''(sin x) gt0 forall x in (0,(pi)/(2)) and g(x) =...

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  12. if f(x) =(2013) x^(2012) -(2012)x^(2011)-2014x+1007 then show that f...

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  13. A function f is differentiable in the interval 0 le x le 5 such tha...

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  14. Let f(x)a n dg(x) be differentiable functions such that f^(prime)(x)g(...

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  15. f is continuous in [a, b] and differentiable in (a, b) (where a>0 ) su...

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  16. If phi(x) is a differentiable function AAx in Rand a inR^(+) such that...

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  17. Find all the values of the parameter'a' for which the function; f(x)=...

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  18. Let h be a twice continuosly differentiable positive function on an op...

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  19. If the complete set of value(s) of a for which the function f (x) =(a...

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  20. If two curves y=2 sin ((5pix)/6) and y=alphax^(2)-3alphax+2alpha+1 to...

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