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Math Help - Need help with multiple calc problems.

  1. #1
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    Need help with multiple calc problems.

    sorry about the format earlier, i ctrl pasted it ; again,

    1. Find derivative of the functions.

    y = 6x^5/2 / x

    y = 9x^2 - 5x / 4x

    h(t) = (t^5 – 2)(6t^2 – 2t – 2)

    2. Find an equation of the tangent line to the graph of the function at the given point.

    h(x) = (x^2 – 2)^2, (-1, 1)
    Last edited by jjung411; October 8th 2009 at 08:56 PM. Reason: bad format
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  2. #2
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    Quote Originally Posted by jjung411 View Post
    sorry about the format earlier, i ctrl pasted it ; again,

    1. Find derivative of the functions.

    y = 6x^5/2 / x
    y= 6x^{5/2- 1}= 6x^{3/2}

    y = 9x^2 - 5x / 4x
    y= (9/4)x- (5/4)

    h(t) = (t^5 – 2)(6t^2 – 2t – 2)
    Use the quotient rule: the derivative of f/g is (f'g- fg')/g^2

    2. Find an equation of the tangent line to the graph of the function at the given point.

    h(x) = (x^2 – 2)^2, (-1, 1)
    First find the derivative of h at x= -1 by using the chain rule. That is the slope, m, of the tangent line. The equation of a line through (x_0,y_0) with slope m is y= m(x- x_0)+ y_0
    Last edited by mr fantastic; October 9th 2009 at 10:11 PM. Reason: Added missing quote tag
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