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Math Help - compute the tangent line

  1. #1
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    compute the tangent line

    need help with this one:

    compute the tangent line of the graph of  f(x) = 3+2sinhx at  x = 0.
    Use the inverse function slope relation to find the corresponding tangent line of the graph of  g = f^{-1}
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  2. #2
    Super Member Rebesques's Avatar
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    Well, we know that the tangent line will pass through (0,f(0)) and have slope of f'(0). Just write down y=ax+b and use these two conditions to obtain a,b.

    (hint: a=f'(0) straight away)

    For the tangent to the inverse function, it will pass through the point (f(0),0) and have a slope of 1/f'(0). Use the same argument here also.
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