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Mathematics Advanced

Stage 6 · HSC questions by topic

About this subject

Mathematics Advanced

Atlas organises human-reviewed questions against the NSW Stage 6 Mathematics Advancedsyllabus. Every published question retains its exam source and page.

Syllabus: NESA Stage 6 (2017)
Explore the NESA Stage 6 (2017) syllabus topics

Functions

  • Working with Functions
  • Graphing Techniques

Trigonometric Functions

  • Trigonometry and Measure of Angles
  • Trigonometric Functions and Identities
  • Trigonometric Functions and Graphs

Calculus

  • Introduction to Differentiation
  • Differential Calculus
  • Applications of Differentiation
  • Integral Calculus

Exponential and Logarithmic Functions

  • Logarithms and Exponentials

Statistical Analysis

  • Probability and Discrete Probability Distributions
  • Descriptive Statistics and Bivariate Data Analysis
  • Random Variables

Financial Mathematics

  • Modelling Financial Situations
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2 questions found

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2025HSC
Q10

The graph of y=f(x)y=f(x)y=f(x), with all its stationary points, is shown.

How many stationary points does the graph of y=f(ex)y=f(e^x)y= have? A. B. C. D.

f
(
ex
)

000

111

222

333
1 mark
Multiple choice
2025HSC
Q16 (a)

Consider the function

f(x)=x2ex.f(x)=\frac{x^2}{e^x}.f(x)=exx2​.

Find the stationary points of the function and determine their nature.

4 marks
Short answer