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Math Help - Gradient Question

  1. #1
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    Post Gradient Question

    If z=2t^3 - 5t

    what is the gradient of a graph of z against t at t = 3?

    The answerneeds to be a number not in scientific notation

    Gradient = ???

    Thanks
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  2. #2
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    Quote Originally Posted by stanton13 View Post
    If z=2t^3 - 5t

    what is the gradient of a graph of z against t at t = 3?

    The answerneeds to be a number not in scientific notation

    Gradient = ???

    Thanks
    A cubic curve will have a range of gradients. To find the gradient at a specific point, find the derivative and insert the value at which you want to find the gradient (In this case when t=3).

    z=2t^3 - 5t \therefore \frac{\mathrm{d}z}{\mathrm{d}t} = 6t^2 - 5.

    Inserting t=3 into the derivative will give you the gradient at that point.
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