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Math Help - find the equation of the tangent line

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    find the equation of the tangent line

    ok can you check my work and tell me if im on the right track...im getting the derivative @ 1 to be equal to 0. attached is a sample of my work, along with the formulas that im trying to use. thanks in advance.IMG.pdf
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    Quote Originally Posted by slapmaxwell1 View Post
    ok can you check my work and tell me if im on the right track...im getting the derivative @ 1 to be equal to 0. attached is a sample of my work, along with the formulas that im trying to use. thanks in advance.IMG.pdf
    y = x^{\cosh{x}}<br />

    logarithmic differentiation ...

    \ln{y} = \cosh{x} \cdot \ln{x}

    \frac{y'}{y} = \cosh{x} \cdot \frac{1}{x} + \ln{x} \cdot \sinh{x}

    y' = x^{\cosh{x}} \left[\frac{\cosh{x}}{x} + \ln{x} \cdot \sinh{x}\right]
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