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Math Help - Derivative Quocient rule

  1. #1
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    Derivative Quocient rule

    (4tan(x))/x

    find f '(x)
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  2. #2
    DBA
    DBA is offline
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    Quotient Rule
    g(x) * f'(x) - f(x) * g'(x) / [g(x)]^2

    F(x) = 4tan(x)/x

    g(x) = x

    g'(x) = d/dt[x] = 1

    f(x) = 4tan(x)

    f'(x) = d/dt[4tan(x)] = 4(secx)^2 * d/dt[x] = 4(secx)^2 * 1

    Notice that d/dt tanx = (secx)^2


    F'(x)= [x * 4(secx)^2 - 4tan(x) * 1] / x^2

    = [ 4(x(secx)^2 - tan(x) ] / x^2
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