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Math Help - Finding tanget line to a graph at given point

  1. #1
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    Finding tanget line to a graph at given point

    Find the equation of the tangent line to the graph of the given function at the given value of x,
    F(x)=((x^2)+28)^(4/5), x=2
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  2. #2
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    f(x) = (x^2 + 28)^{\frac{4}{5}}

    f'(x) = \frac{4}{5} 2x (x^2 + 28)^{- \frac{1}{5}} by the chain rule

    f'(2) = \frac{16}{5} (32)^{- \frac{1}{5}}
    f'(2) = \frac{8}{5}

    the rest is pretty routine

    y - f(2) = f'(2) ( x - 2)

    can you finish that off ?
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