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Finding the gradient of a chord

  1. Nov 7, 2012 #1
    1. The problem statement, all variables and given/known data

    What is the gradient of the chord of the curve y = 2x^2 between the points x = 1 and x = 1+ h?

    2. Relevant equations
    differentiation by first principles

    dy/dx = f(x+h) - f(x)/h


    3. The attempt at a solution

    use of the formula to receive 4x +2h
     
  2. jcsd
  3. Nov 7, 2012 #2

    Simon Bridge

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    Cool! Erm... what was your question?
    Shouldn't your solution be in terms of h alone?
     
  4. Nov 7, 2012 #3
    Why h alone, is it because i have to sub x for 1 ?
     
  5. Nov 7, 2012 #4

    Simon Bridge

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    Sketch the graph and you'll see for yourself:

    You are drawing a line through points (1,2) and (h,2h2) and finding the gradient of that line. Does the gradient of a line depend on x at all?
     
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