The equation of a curve is $$$y=(3-2 x)^{3}+24 x$$$. Determine the nature of each stationary point. ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................

Mathematics

IGCSE&ALevel

CAIE

Exam No：9709_s20_qp_11 Year：2020 Question No：9(c)

Answer:

If $x=1 / 2, \frac{\mathrm{d}^{2} y}{\mathrm{~d} x^{2}}=48$ Minimum
If $x=2 \frac{1}{2}, \frac{\mathrm{d}^{2} y}{\mathrm{~d} x^{2}}=-48$ Maximum

Knowledge points:

1.7.4 locate stationary points and determine their nature, and use information about stationary points in sketching graphs. (Including use of the second derivative for identifying maxima and minima; alternatives may be used in questions where no method is specified.) (Knowledge of points of inflexion is not included.)

Answer:

Knowledge points:

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