# Calc2.45

From Example Problems

Find the slope of the tangent line to the graph at the point .

Again, use implicit differentiation to find and then plug in the point to find the slope of the tangent line at that point. Taking the derivative gives

Plugging in gives

or

Thus, the slope of the tangent line to this graph at the point is . Since we have a point and the slope of the tangent line, we will use the point-slope form of the line. The equation of the tangent line at is

or