begin{arraylx=sqrtt^{2+1}y=ln(t+sqrt{t^{2+1})}endarray.

Frequently Asked Questions

• Write the rectangular equation of $\{\begin{array}{l}x=\sqrt{t^2+1}\\ y=\ln \left(t+\sqrt{t^2+1}\right)\end{array}$

  

  $$\begin{array}{rl}& y=\ln \left(\sqrt{x^2-1}+\left|x\right|\right)\\ & y=\ln \left(-\sqrt{x^2-1}+\left|x\right|\right)\end{array}$$

• Find the derivative parametrically of $\{\begin{array}{l}x=\sqrt{t^2+1}\\ y=\ln \left(t+\sqrt{t^2+1}\right)\end{array}$

  

  $$\frac{dy}{dx}=\frac{1}{t}$$