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Find the values of p and q, so that f(x)...

Find the values of p and q, so that `f(x) = {(x^(2) + 3x + p,x le 1),(qx + 2,x gt 1):}` is differentiable at x=1.

Text Solution

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The correct Answer is:
p=3 and q=5
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Knowledge Check

  • f(x)= x^(2) e^(2(x-1)), 0 lt x lt 1 = a "sgn" (x+1) cos (2x-2) + bx^(2), 1 lt x le 2 . If a function f(x) is differentiable at x=1 then.

    A
    `a= -1, b=2`
    B
    `a=1, b= -2`
    C
    `a= -3, b=4`
    D
    `a= 3, b= -4`

  • f(x)= x^(2) e^(2(x-1)), 0 lt x lt 1 = a "sgn" (x+1) cos (2x-2) + bx^(2), 1 lt x le 2 . If a function f(x) is differentiable at x=1 then.

    A
    `a= -1, b=2`
    B
    `a=1, b= -2`
    C
    `a= -3, b=4`
    D
    `a= 3, b= -4`

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