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Undefined Derivative of a Parametric Function

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A curve is defined by the parametric equations x(t)=ln⁡(t+3t+1)x(t)=\ln\Bigl(\frac{t+3}{t+1}\Bigr) and y(t)=t2+2t+1t2+6t+9y(t)=\sqrt{\frac{t^2+2t+1}{t^2+6t+9}}. For which of the following values of tt is the derivative dydx\frac{dy}{dx} undefined?

A

No value of t exists such that dydx\frac{dy}{dx} is undefined.

B

t=−1t=-1

C

t=0t=0

D

t=−3t=-3

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