APFIVE Undefined Derivative of a Parametric Function
Let $$x(t)=\ln\Bigl(\frac{t+3}{t+1}\Bigr)$$ and $$y(t)=\sqrt{\frac{t^2+2*t+1}{t^2+6*t+9}}.$$ Determine the value of $$t$$ for which the derivative $$\frac{dy}{dx}$$ is undefined.
A
No value of t exists such that $$\frac{dy}{dx}$$ is undefined.
B
$$t=-1$$
C
$$t=0$$
D
$$t=-3$$
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