The curve π¦=βπ₯3+3π₯2+6π₯β8 cuts the π₯-axis at π₯=β2,π₯=1 and π₯=4.
a. Sketch the curve, showing clearly the intersection with the coordinate axes.
b. Differentiate π¦=βπ₯3+3π₯2+6π₯β8
c. Show that the tangents to the curve at π₯=β2 and π₯=4 are parallel.
a.
b.
c.
Since then the tangents to the curve at and are parallel.
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