5. A family of cubic functions is defined as fx (x) = k?x? – kot2 + x, ke Zt. (a) Express in terms of k (i) f'k (x) and

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5 A Family Of Cubic Functions Is Defined As Fx X K X Kot2 X Ke Zt A Express In Terms Of K I F K X And 1 (29.43 KiB) Viewed 79 times

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5. A family of cubic functions is defined as fx (x) = k?x? – kot2 + x, ke Zt. (a) Express in terms of k (i) f'k (x) and f "x(x); the coordinates of the points of inflexion Pk on the graphs (b) Show that all Pk lie on a straight line and state its equation. Show for all k, the tangents to graphs offk at Pk are parallel, & find the equation of tangent line