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Math Help - Differentiable

  1. #1
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    Differentiable

    This is a multi-step question, and i really don't know how to even start.

    f(x) = x^2 - 4x + 1 if x <= 2 and ax + b if x > -2
    Is differentiable at -2.

    It is known that if a function is differentiable at a point 'c', then it is continuous at c. Using now the continuity of f at -2, we can establish a relationship between a and b. Find this relationship and express is in the form b = Aa + B, where A and B are constants.

    This is the first part of the question, please help.
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  2. #2
    MHF Contributor Also sprach Zarathustra's Avatar
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    Quote Originally Posted by mmfoxall View Post
    This is a multi-step question, and i really don't know how to even start.

    f(x) = x^2 - 4x + 1 if x <= 2 and ax + b if x > -2
    Is differentiable at -2.

    It is known that if a function is differentiable at a point 'c', then it is continuous at c. Using now the continuity of f at -2, we can establish a relationship between a and b. Find this relationship and express is in the form b = Aa + B, where A and B are constants.

    This is the first part of the question, please help.
    Something similar if not the same here: http://www.mathhelpforum.com/math-he...on-160723.html
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