4.6 Derivatives of Functions Defined Implicitly

Checkpoint 2

In Figure C1 we show the graph of the equation `y^2-x^2=1`.


Figure C1   Graph of `y^2-x^2=1`

  1. Use the method of implicit differentiation to find the slope of the tangent line to the curve at `x=1` and `y=sqrt(2).`

  2. Use the explicit method of Checkpoint 1 to find the slope of the tangent line to the curve `(1,sqrt(2)).`

Answers