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if f(x) = x( sqrtx + sqrt(x+1)), then...

if `f(x) = x( sqrtx + sqrt(x+1)),` then

A

f(x) is continuous but not differentiable at x = 0

B

f(x) is differentiable at x = 0

C

f(x) is not differentiable at x = 0

D

None of these

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Knowledge Check

  • If f(x)=x(sqrt(x)-sqrt(x+1)) then f(x) is:

    A
    A) Continuous but not differentiable at x = 0
    B
    B) Differentiable at x = 0
    C
    C) Not continuous at x = 0
    D
    D) None of the above

  • If f(x)=sqrt(x+2sqrt(x))," then "f'(1)=

    A
    1
    B
    `(1)/(sqrt(2))`
    C
    `(1)/(sqrt(3))`
    D
    `sqrt(3)`

  • f(x)=sqrtx-(1)/(sqrtx)

    A
    `I_(1)=(0, infty), I_(2)= phi`
    B
    `I_(1) = phi , I_(2)=(0, infty)`
    C
    `I_(1)= phi, I_(2)=(- infty, 0)`
    D
    none of these

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