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The graph of y = f(x) is given with six ...

The graph of y = f(x) is given with six labelled points. Anser the following questions.
(a) At which point f'(x) has the greatest value?
(b) At which point f(x) and f'(x) both are zero?
(c) At how many point f'(x) is negative ?
(d) Which is the point of inflection?

Text Solution

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(a) B, (b)A, (c)2, (d) E
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Knowledge Check

  • Find the points of inflection for f(x)=3x^(4)-4x^(3) .

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    B
    1
    C
    `2/3`
    D
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  • For the function f(x)=xe^x , the point

    A
    `x=-1` is a maximum
    B
    x = 0 is a minimum
    C
    `x=-1` is a minimum
    D
    x = 0 is a maximum

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