The curve $$\(y=x^{2}-\frac{a}{x}\)$$ has a stationary point at $$\((-3, b)\)$$. Find the values of the constants $$\(a\)$$ and $$\(b\)$$. ................................................................................................................................................................ . ................................................................................................................................................................ . ................................................................................................................................................................ . ................................................................................................................................................................ . ................................................................................................................................................................ . ................................................................................................................................................................ . ................................................................................................................................................................ . ................................................................................................................................................................ . ................................................................................................................................................................ . ................................................................................................................................................................ . ................................................................................................................................................................ . ................................................................................................................................................................ . ................................................................................................................................................................ . ................................................................................................................................................................ . ................................................................................................................................................................ . ................................................................................................................................................................ . ................................................................................................................................................................ . ................................................................................................................................................................ . ................................................................................................................................................................ . ................................................................................................................................................................ . ................................................................................................................................................................ . ................................................................................................................................................................ . ................................................................................................................................................................ . ................................................................................................................................................................ . ................................................................................................................................................................ . ................................................................................................................................................................ .
Exam No:9709_w24_qp_11 Year:2024 Question No:2
Answer:

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.)
Solution:
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