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    stewartlindsay's Avatar
    stewartlindsay Posts: 2, Reputation: 1
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    #1

    Nov 24, 2009, 01:18 PM
    Gradient of Tangents Calculus
    Find the gradient of the tangent to the curve y= square root x plus 8/square root x at the point (4,6)
    galactus's Avatar
    galactus Posts: 2,271, Reputation: 282
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    #2

    Nov 24, 2009, 01:26 PM


    Please use proper grouping so we know what you mean. I knew this by plugging in x=4 and seeing if I got 6.

    To find the gradient, we need the slope at that point.

    Find the derivative of y, then plug in x=4. That should be the slope at that point.

    Can you find the derivative of y?

    The derivative may be easier to find by rewriting as

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