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The function f(x)=tanx+(1)/(x), AA x in...

The function `f(x)=tanx+(1)/(x), AA x in (0, (pi)/(2))` has

A

one local maximum

B

one local minimum

C

one local maximum and one minimum

D

no local maximum of minimum

Text Solution

Verified by Experts

The correct Answer is:
B
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Knowledge Check

  • The function f(x)=tanx-x

    A
    always increases
    B
    always decreases
    C
    never decreases
    D
    sometimes increases and sometimes decreases

  • The minimum value of the function f(x)=(tanx)/(3+2tanx), AA x in [0, (pi)/(2)) is

    A
    0
    B
    `(1)/(2)`
    C
    `(1)/(3)`
    D
    `(1)/(6)`

  • The function f(x)=1+|tanx| is

    A
    Continuous everywhere
    B
    Discontinuous when `x=npi,n epsilon Z`
    C
    Not differntiable when `x=(2n+1)(pi)/2, n epsilon Z`
    D
    Discontinuous at `x=(2n+1)(pi)/2, n epsilon Z` and not differntiable at `x=(npi)/2, n epsilon Z`

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