A curve is represented parametrically by the equations P \( x=f(t)=...

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A curve is represented parametrically by the equations
P \( x=f(t)=a^{\ln \left(b^{t}\right)} \) and \( y=g(t)=b^{-\ln \left(a^{t}\right)} a, b0 \) and \( a \neq 1, b \neq 1 \)

W where \( t \in R \).
Which of the following is not a correct expression for \( \frac{d y}{d x} \) ?
(1) \( \frac{-1}{f(t)^{2}} \)
(2) \( -(g(t))^{2} \)
(3) \( \frac{-g(t)}{f(t)} \)
(4) \( \frac{-f(t)}{g(t)} \)
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