Question

Find all points on the curve

Answer 1

Step 1 :

The curve is .

The slope of the tangent line is .

Set slope = .

.

Differentiate the function with respect to .

Step 2 :

Set slope = .

Step 3 :

Substitute in .

.

Imaginary values are not considered.

At , and

At , .

The points on the curve are .

Solution :

The points on the curve are .