VCE Maths Methods Differential Calculus Mini Test 13
Number of marks: 5
Reading time: 2 minutes
Writing time: 7 minutes
Instructions – No Calculator
• Answer all questions in the spaces provided.
• Write your responses in English.
• In questions where a numerical answer is required, an exact value must be given unless otherwise specified.
• In questions where more than one mark is available, appropriate working must be shown.
• Unless otherwise indicated, the diagrams in this book are not drawn to scale.
The gradient of a function is given by \( \frac{dy}{dx} = \sqrt{x+6} - \frac{x}{2} - \frac{3}{2} \).
The graph of the function has a single stationary point at \( \left(3, \frac{29}{4}\right) \).
a. Find the rule of the function. 3 marks
b. Determine the nature of the stationary point. 2 marks
End of examination questions
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