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Math Help - Differential Calculus - Gradient of the Tangent

  1. #1
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    Question Differential Calculus - Gradient of the Tangent

    Hi

    Find the gradient of the tangent on the curve \frac{x}{\sqrt{2x}} at the point (4, \sqrt{2x}). Express your answer as a rational number.

    The textbook's answer is \frac{\sqrt{2}-2}{2} whilst I keep getting \frac{\sqrt{2}}{8}. Is the textbook right?
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  2. #2
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    Gradient

    Hello xwrathbringerx
    Quote Originally Posted by xwrathbringerx View Post
    Hi

    Find the gradient of the tangent on the curve \frac{x}{\sqrt{2x}} at the point (4, \sqrt{2x}). Express your answer as a rational number.

    The textbook's answer is \frac{\sqrt{2}-2}{2} whilst I keep getting \frac{\sqrt{2}}{8}. Is the textbook right?
    If the equation of the curve is y=\frac{x}{\sqrt{2x}} then you are right - assuming that you mean the point (4, \sqrt{2}). But you can't express the answer as a rational number. The best you can do is what you have done: express the answer with a rational denominator.

    But are you sure you've read the question properly?

    Grandad
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