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Math Help - derivative to straight lines

  1. #1
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    derivative to straight lines

    If two straight lines meet in a graph (to make a point, like a V-shape), is the derivative 0 or undefined at that meeting point? All the examples I have talk about curves, not straight lines...
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  2. #2
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    Quote Originally Posted by missgiraffe View Post
    If two straight lines meet in a graph (to make a point, like a V-shape), is the derivative 0 or undefined at that meeting point? All the examples I have talk about curves, not straight lines...
    The derivative of a straight line is just the slope of the line. I'm not sure what you're asking in terms of the derivtive at the intersection of the lines. Each line has it's own derivative.

    Are you trying to find the derivative of piecewise function?
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  3. #3
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    Quote Originally Posted by adkinsjr View Post
    The derivative of a straight line is just the slope of the line. I'm not sure what you're asking in terms of the derivtive at the intersection of the lines. Each line has it's own derivative.

    Are you trying to find the derivative of piecewise function?

    I'm trying to find the derivative at a specific point on a graph. That point happens to be where two straight lines meet, at x=2.

    So does f'(2)=0 or undefined?

    I know if it was a curve at x=2 the derivative would be 0 since the tangent is horizontal. But I'm not sure what the derivative would be since the lines create a point at x=2. Is that a clearer explanation?
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