A curve is represented parametrically by the equations \( \mathrm{P...

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A curve is represented parametrically by the equations
\( \mathrm{P} \) \( x=f(t)=a^{\ln \left(b^{t}\right)} \) and \( y=g(t)=b^{-\ln \left(a^{t}\right)} a, b0 \) and \( a \neq 1, b \neq 1 \) where \( t \in R \).
W The value of \( \frac{f(t)}{f^{\prime}(t)} \cdot \frac{f^{\prime \prime}(-t)}{f^{\prime}(-t)}+\frac{f(-t)}{f^{\prime}(-t)} \cdot \frac{f^{\prime \prime}(t)}{f^{\prime}(t)} \forall t \in R \) is equal to
(1) -2
(2) 2
(3) -4
(4) 4
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