For the given curve: y = 2x – x², when x increases at the rate of 3 units/sec, then how the slope of curve changes?
We know that using formula we get decreasing, at 6 units/sec. Calculation gives this directly, check steps: apply rule, substitute values, simplify to get decreasing, at 6 units/sec.
Ref: NCERT Mathematics Class XI — Coordinate Geometry
