[STEP][剑桥数学入学考试][04-S2-Q3][Curve sketching][FP1] STEP

casperyc的马甲 2月前 266

The curve $C$ has equation $$ y = x(x+1)(x-2)^4. $$ Determine the coordinates of all the stationary points of $C$ and the nature of each.

Sketch $C$.

In separate diagrams draw sketches of the curves whose equations are:

  1. $ y^2 = x(x+1)(x-2)^4$
  2. $ y = x^2(x^2+1)(x^2-2)^4 $
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