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For the function f(x) = |x^2 - 5x +6| , ...

For the function `f(x) = |x^2 - 5x +6|` , the right hand derivation f'(2+) is equal to

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f(x) = x^(2) -5x + 6 in [-3, 8]

Find the derivative of f(x) = x^(2) .

Knowledge Check

  • If f(x) =|x^2-5x+6| , then f^(1)(x) equals

    A
    `2x-5 ` for `2 lt x lt 3`
    B
    `5 - 2x` for `2 lt x lt 3`
    C
    `2x -5 ` for `x gt 2`
    D
    5 - 2x for `x gt 3`

  • Suppose that function f(x) - f(2x) has the derivative 5 at x = 1 and derivative 7 at x = 2 . The derivative of the function f(x) -f( 4x) at x = 1 has the value equal to

    A
    19
    B
    9
    C
    17
    D
    14

  • If f(x) = min (x^(2) ,x, sgn ( x^(2) +4x + 5) ) then the value of f(2) is equal to

    A
    2
    B
    0
    C
    1
    D
    4

    • Similar Questions

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    Verify Rolle's theorem for the function f(x) = x^2 - 5 x + 6 in the interval [-3,8]

    If f :[ - 2a, 2a] to R is an odd function such that f (x) = f (2a -x) for x in [a, 2a]. If the left hand derivative of f (x) at x =a is zero, then show that the left hand derivative of f (x) at x =-a is also zero

    Find the intervals in which the function f given by f(x) = x^(2) – 4x + 6 is (a) increasing (b) decreasing

    The range of the function f (x) =- sqrt( -x ^(2) -6x -5) is

    If f: R rarr R is a polynomal function satisfying the functional equation f(f(x))=6x-f(x) , then f(17) is equal to

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