\left\{ \begin{array} { l } { x = \sqrt { t ^ { 2 } + 1 } } \\ { y = \ln ( t + \sqrt { t ^ { 2 } + 1 } ) } \end{array} \right.

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Matrix

Type your math problem... \left\{ \begin{array} { l } { x = \sqrt { t ^ { 2 } + 1 } } \\ { y = \ln ( t + \sqrt { t ^ { 2 } + 1 } ) } \end{array} \right.

Question

{x = t^{2} + 1 y = ln (t + t^{2} + 1)

Rewrite the parametric equations

Write the rectangular equation

y = ln (x^{2} - 1 + ∣ x ∣) y = ln (- x^{2} - 1 + ∣ x ∣)

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Find the first derivative

Find the derivative parametrically

\frac{d y}{d x} = \frac{1}{t}

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