A curve has equation $$$y=x^{3}-2 x^{2}+5$$$. Find the coordinates of its two stationary points. $$$(\ldots \ldots \ldots \ldots, \ldots \ldots \ldots)$$$ and $$$(\ldots \ldots \ldots \ldots, \ldots \ldots \ldots)$$$

Mathematics

IGCSE&ALevel

CAIE

Exam No：0580_m21_qp_22 Year：2021 Question No：24

Answer:

$(0,5)$
$\left(\frac{4}{3}, \frac{103}{27}\right)$ oe

Knowledge points:

E2.5.1 Derive and solve linear equations in one unknown

E2.5.2 Derive and solve simultaneous linear equations in two unknowns.

E2.5.3 Derive and solve simultaneous equations, involving one linear and one quadratic.

E2.5.5 Derive and solve linear inequalities. (Including representing and interpreting inequalities on a number line.) (Interpretation of results may be required.)

Solution:

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A curve has equation $$\(y=x^{3}-2 x^{2}+5\)$$. Find the coordinates of its two stationary points. $$\((\ldots \ldots \ldots \ldots, \ldots \ldots \ldots)\)$$ and $$\((\ldots \ldots \ldots \ldots, \ldots \ldots \ldots)\)$$

Answer:

Knowledge points:

Solution:

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