At what points on the curve , the tangents are parallel to the y-axis?
Given: equation of a curve
To find: the points on the curve , the tangents are parallel to the y-axis
Explanation: the given equation of curve as
Differentiating the equation with respect to X
Sense the tangents are parallel to the axis as mentioned in the question
Thus,
Putting y = 2 in curve equation, we get
After the splitting of the middle term,
Thus, the needed points are(-1, 2) and (3, 2).
Hence the points on the curve , the tangents are parallel to the y-axis are (-1, 2) and (3, 2).