Last updated on Sep 20, 2026

Exponential Functions (HSC SSCE Mathematics Advanced): Quizzes

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Euler's Number and Derivatives

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What type of number is Euler's number $e$ ?

Irrational

What is the approximate value of Euler's number $e$ ?

$2.71828$

What is the unique property of $y = e^x$ when differentiated?

The derivative equals the function

What is $\frac{d}{dx}(e^x)$ ?

$e^x$

On $y = e^x$ , what does the slope of the tangent equal at any point?

The $y$ -coordinate

What is the value of $\frac{d}{dx}(e^x)$ at $x = 0$ ?

$1$

What is the gradient of $y = e^x$ at the point $(1, e)$ ?

$e$

Which exponential function has a derivative equal to itself?

$e^x$ only

What is the equation of the tangent to $y = e^x$ at $x = 1$ ?

$y = ex$

What form is used to find the tangent to $y = e^x$ at point $(x_1, e^{x_1})$ ?

$y - y_1 = m(x - x_1)$

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Exponential Functions (HSC SSCE Mathematics Advanced): Quizzes

Practise the questions

What type of number is Euler's number eee?

What is the approximate value of Euler's number eee?

What is the unique property of y=exy = e^xy=ex when differentiated?

What is ddx(ex)\frac{d}{dx}(e^x)dxd​(ex)?

On y=exy = e^xy=ex, what does the slope of the tangent equal at any point?

What is the value of ddx(ex)\frac{d}{dx}(e^x)dxd​(ex) at x=0x = 0x=0?

What is the gradient of y=exy = e^xy=ex at the point (1,e)(1, e)(1,e)?

Which exponential function has a derivative equal to itself?

What is the equation of the tangent to y=exy = e^xy=ex at x=1x = 1x=1?

What form is used to find the tangent to y=exy = e^xy=ex at point (x1,ex1)(x_1, e^{x_1})(x1​,ex1​)?

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

What type of number is Euler's number $e$ ?

What is the approximate value of Euler's number $e$ ?

What is the unique property of $y = e^x$ when differentiated?

What is $\frac{d}{dx}(e^x)$ ?

On $y = e^x$ , what does the slope of the tangent equal at any point?

What is the value of $\frac{d}{dx}(e^x)$ at $x = 0$ ?

What is the gradient of $y = e^x$ at the point $(1, e)$ ?

What is the equation of the tangent to $y = e^x$ at $x = 1$ ?

What form is used to find the tangent to $y = e^x$ at point $(x_1, e^{x_1})$ ?