Last updated on Sep 20, 2026

The Derivative (HSC SSCE Mathematics Advanced): Quizzes

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Derivatives of Basic Functions

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What does the derivative of a function represent?

The gradient or slope

What is the gradient of a horizontal line?

Zero

If $f(x) = c$ where $c$ is a constant, what is $f'(x)$ ?

$0$

Find the derivative of $f(x) = 15$

$0$

If $f(x) = mx + c$ , what is $f'(x)$ ?

$m$

Find the derivative of $h(x) = 7x + 3$

$7$

Why does the constant $c$ disappear when differentiating $f(x) = mx + c$ ?

It affects position, not gradient

What type of graph does a constant function $y = c$ produce?

Horizontal line

If $f(x) = x$ , what is $f'(x)$ ?

$1$

Find the derivative of $g(x) = -5x$

$-5$

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The Derivative (HSC SSCE Mathematics Advanced): Quizzes

Practise the questions

What does the derivative of a function represent?

What is the gradient of a horizontal line?

If f(x)=cf(x) = cf(x)=c where ccc is a constant, what is f′(x)f'(x)f′(x)?

Find the derivative of f(x)=15f(x) = 15f(x)=15

If f(x)=mx+cf(x) = mx + cf(x)=mx+c, what is f′(x)f'(x)f′(x)?

Find the derivative of h(x)=7x+3h(x) = 7x + 3h(x)=7x+3

Why does the constant ccc disappear when differentiating f(x)=mx+cf(x) = mx + cf(x)=mx+c?

What type of graph does a constant function y=cy = cy=c produce?

If f(x)=xf(x) = xf(x)=x, what is f′(x)f'(x)f′(x)?

Find the derivative of g(x)=−5xg(x) = -5xg(x)=−5x

Explore HSC SSCE Mathematics Advanced Revision Notes by Topics

Algebraic Techniques

Solve Equations

Introduction to Functions and Relations

Linear Functions

Quadratic and Cubic Functions

Function Properties

Functions and Relations

Trigonometry

Trigonometric Identities and Equations

Probability

Data

Introduction to Rates of Change

The Derivative

Exponential Functions

Logarithmic Functions

Transformations

Trigonometric Identities and Equations

Probability

Data

Introduction to Rates of Change

The Derivative

Exponential Functions

Logarithmic Functions

Transformations

Advanced Applications of Transformations

Explore HSC SSCE Mathematics Advanced Model Answers by Topics

Algebraic Techniques

Solve Equations

Introduction to Functions and Relations

Linear Functions

Quadratic and Cubic Functions

Function Properties

Functions and Relations

Trigonometry

Trigonometric Identities and Equations

Probability

Data

Introduction to Rates of Change

The Derivative

Exponential Functions

Logarithmic Functions

Transformations

Trigonometric Identities and Equations

Probability

Data

Introduction to Rates of Change

The Derivative

Exponential Functions

Logarithmic Functions

Transformations

Advanced Applications of Transformations

Explore HSC SSCE Mathematics Advanced Flashcards by Topics

Algebraic Techniques

Solve Equations

Introduction to Functions and Relations

Linear Functions

Quadratic and Cubic Functions

Function Properties

Functions and Relations

Trigonometry

Trigonometric Identities and Equations

Probability

Data

Introduction to Rates of Change

The Derivative

Exponential Functions

Logarithmic Functions

If $f(x) = c$ where $c$ is a constant, what is $f'(x)$ ?

Find the derivative of $f(x) = 15$

If $f(x) = mx + c$ , what is $f'(x)$ ?

Find the derivative of $h(x) = 7x + 3$

Why does the constant $c$ disappear when differentiating $f(x) = mx + c$ ?

What type of graph does a constant function $y = c$ produce?

If $f(x) = x$ , what is $f'(x)$ ?

Find the derivative of $g(x) = -5x$