Question

Use implicit differentiation to find an equation of the tangent

line to the curve at the given point.

Answer 1

Step 1:

The curve equation is  and the point is .

Apply derivative on each side.

Step 2:

Find slope  of the curve at .

Slope .

Find the equation of the tangent line using formula .

Substitute slope and point .

.

Solution:

The equation of the tangent line is .