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Prove that the function are increasing f...

Prove that the function are increasing for the given intervals: `f(x)=e^x+sinx ,x in R^+`

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Knowledge Check

  • The function f(x) = x^2 is increasing in the interval

    A
    (-1,1)
    B
    `(-infty,infty)`
    C
    `(0,infty)`
    D
    `(-infty,0)`

  • The function f(x)=x/(xlogx) increase on the interval

    A
    `(1,oo)`
    B
    (0,e)
    C
    `(e,oo)`
    D
    none of these

  • The function f (x) is an increasing function is the interval:

    A
    `(-2,-1)`
    B
    `(-infty, -2)`
    C
    `(-1,2)`
    D
    `(-1,infty)`

    • Similar Questions

    Explore conceptually related problems

    Prove that the following functions are increasing for the given intervals, (i) y =e^(x) + sinx, x epsilon R^(+) (ii) y=sin x+ tan x- 2x, x epsilon(0, pi/2) (iii) y = x + sin x , x epsilon R .

    Prove that the function f(x)=log_(e)x is increasing on (0,oo)

    the function f(x)=(log x)/(x) is increasing in the interval

    The function f(x)=x^(1//x) is increasing in the interval

    The function f(x)=x^(2)+2x-5 is increasing in the interval

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