Question

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

Bifolium:

(x^2 + y^2)^2 = 4x^2y

Point: (1, 1)

Answer 1

Step 1 :

The curve is and the point is .

Differentiate the equation with respect to .

Apply power rule of derivatives : .

Apply product rule of derivatives : .

Step 2 :

Substitute the point in above equation.

This is the slope of the tangent line to the curve at the point .

Solution :

The slope of the tangent line to the curve at the point is zero.