Question

Find an equation of the tangent line to the graph at the given point. To print an enlarged copy of the graph, go to the website  www.mathgraphs.com.

Rotated hyperbola

Answer 1

Step 1:

The equation is and the point is .

Consider .

Differentiate on each side with respect to .

Product rule of derivatives : .

Slope of the tangent line at .

Slope of the tangent line is .

Step 2:

Point slope form of line equation is

Substitute and in the above equation.

Solution :

The tangent line equation is .