Question

Find an equation of the tangent line to the curve at the given

point.

Answer 1

Step 1 :

The function is and the point .

Let then .

  and .

Apply chain rule:

Slope of the tangent line at .

Slope of the tangent line .

Step 2 :

Point-slope form of line equation .

Substitute slope and the point .

Solution :

The equation of a tangent line