Question

a curve has equation y=k/(x+2)+x where k is a positive constant. Find in terms of k the values of which the curve has a stationary point and determine nature.

Answer 1

Answer:

We know that at stationary points, dy/dx = 0 (since the gradient is zero at stationary points). By differentiating, we get: dy/dx = 2x. Therefore the stationary points on this graph occur when 2x = 0, which is when x = 0. When x = 0, y = 0, therefore the coordinates of the stationary point are (0,0).

Answer 2

Step-by-step explanation:

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