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Math Help - Please help urgently derivative of function involving fractional exponents

  1. #1
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    Please help urgently derivative of function involving fractional exponents

    Please help.
    xF(x)=4x3/4-2

    We have to find the horizontal and vertical tangent lines for the
    I can not understand how to do any equation with fractions
    Last edited by mted025; July 14th 2008 at 05:15 PM. Reason: make it clearer to understand
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  2. #2
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    Quote Originally Posted by mted025 View Post
    Please help.
    4x3/4-2

    Can not understand how to do so that I can find max and min
    Your expression is completely ambiguous. Do you mean find the derivative of 4x^{3/4} - 2?
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  3. #3
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    help with horizontal and vertical tangent lines

    I have to find the points at which the graph of F either has a horizontal or vertical line.
    the function is F(x)=4x^(3/4)-2
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    Quote Originally Posted by mted025 View Post
    I have to find the points at which the graph of F either has a horizontal or vertical line.
    the function is F(x)=4x^(3/4)-2
    Draw the graph. The domain is [0, oo) (why?). It's an increasing function. The tangent is a vertical line at (0, -2) (why?) with equation x = 0. There's no point on the graph at which the tangent is horizontal (why?).

    Hint: The derivative is \left( \frac{3}{4} \right) 4 x^{-1/4} = 3 x^{-1/4} = \frac{3}{x^{1/4}}.
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