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Math Help - Question involving derivatives; don't understand

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    Question involving derivatives; don't understand

    Question:

    Tafu is working with subatomic particles in the Physics lab. A positron is traveling in a straight line down the particle accelerator. Tafu models its position with the function.

    p(t) = (t^2)/(t - 1)

    Let a>1 be some fixed number. Let h>0 be some small number. Write out a formula for the slope of the secant line to the graph of x=p(t) between the point at t=a and the point at t=a+h.

    -----------------------

    Is this question asking me to find the derivative of p(t)? Or is it asking me to find the slope of [p(a + h) - p(a)] / h without finding the limit as h approaches 0?
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    Quote Originally Posted by iflyboats View Post
    Question:

    Tafu is working with subatomic particles in the Physics lab. A positron is traveling in a straight line down the particle accelerator. Tafu models its position with the function.

    p(t) = (t^2)/(t - 1)

    Let a>1 be some fixed number. Let h>0 be some small number. Write out a formula for the slope of the secant line to the graph of x=p(t) between the point at t=a and the point at t=a+h.

    -----------------------

    Is this question asking me to find the derivative of p(t)? Or is it asking me to find the slope of [p(a + h) - p(a)] / h without finding the limit as h approaches 0?
    Apparently they want the secant. So no limit as h goes to 0.

    -Dan
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