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Math Help - Derivative

  1. #1
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    Derivative

    Guys, is this right?
    And if it is, from the the y' got in there?
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  2. #2
    o_O
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    \begin{array}{lcl}z & = & \sin \frac{1}{y} \\ z' & = & \underbrace{\left(\cos \frac{1}{y}\right) \cdot \left(\frac{1}{y}\right)'}_{\text{By chain rule}} \end{array}
    etc. etc.

    y' shouldn't be there.
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  3. #3
    Super Member wingless's Avatar
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    y' should be there only if you are differentiating with respect to a variable except y.
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