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Math Help - Existence of Derivative

  1. #1
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    Existence of Derivative

    Hello i have the following exercise:

    x(t) = \frac{3}{t^3}

    and

    y(t) = e^{tan(t)}

    for which t does the first derivative exists ?
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  2. #2
    Member kjchauhan's Avatar
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    Quote Originally Posted by coobe View Post
    Hello i have the following exercise:

    x(t) = \frac{3}{t^3}

    and

    y(t) = e^{tan(t)}

    for which t does the first derivative exists ?
    \mid t \mid \ne 0
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  3. #3
    MHF Contributor Calculus26's Avatar
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    for y(t)

    dy/dt = e^tan(t) sec^2(t)

    is defined except for odd multiples of pi/2 --> (2n-1)pi/2 for all integers n. as tan(t) and sec(t) are not defined at these points
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