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If f(x) = x^(3) - 3x^(2) + 3x + 7 , then...

If f(x) = `x^(3) - 3x^(2) + 3x + 7` , then -

A

f(x) has a maximum at x = 1

B

f(x) has a minimum at x = 1

C

f(x) has a point of inflexion at x = 1

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
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Knowledge Check

  • If f(x) = x^3 + 3x^2 + 3x , then f(x+1) is equal to :

    A
    `x^3+6x^2+12x+7`
    B
    `x^3+4x^2+5`
    C
    `3x^3+12x^2+4x+1`
    D
    `2x^3+6x^2+3`

  • f(x)=24x^(3)+3x^(2)-3x+7

    A
    `I_(1)=(-(1)/(4),(1)/(6)), I_(2)=((1)/(6), infty)`
    B
    `I_(1)=(-infty,-(1)/(4)),uu ((1)/(6), infty), I_(2)=(-(1)/(4),(1)/(6))`
    C
    `I_(1)=(-(1)/(6),(1)/(4)), I_(2)=((1)/(4), (1)/(3))uu((1)/(3), infty)`
    D
    none of these

  • If f(x) = 7x + 9 and g(x) = 7x^(2) - 3 , then (f - g)(x) is equal to

    A
    7(x + 1)
    B
    `7x - 7x^(2) + 12`
    C
    `7x - 7x^(2) - 12`
    D
    `7x^(2) + 7x - 12`

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