Last updated on Sep 20, 2026

Chain Rule (AQA A-Level Mathematics): Quizzes

📚Quizzes

Revision Notes Model Answers Quizzes Flashcards Exam Questions

Chain Rule

Sign up to keep practising.Create a free account to play more quizzes and track your progress.

Practise the questions

10 questions from this quiz

Show

What is $\frac{dy}{dx}$ for $y = f(g(x))$ using the chain rule?

$f'(g(x)) \cdot g'(x)$

In Leibniz notation, $\frac{dy}{dx}$ equals what when $y = f(u)$ and $u = g(x)$ ?

$\frac{dy}{du} \cdot \frac{du}{dx}$

For $y = \sin(3x)$ , what is the outer function?

$\sin(u)$

What is $\frac{dy}{dx}$ for $y = \sin(3x)$ ?

$3\cos(3x)$

What is $\frac{dy}{dx}$ for $y = \ln(5x^2 + 1)$ ?

$\frac{10x}{5x^2 + 1}$

What is $\frac{dy}{dx}$ for $y = e^{-\frac{1}{x}}$ ?

$\frac{e^{-\frac{1}{x}}}{x^2}$

What is $\frac{dy}{dx}$ for $y = (x^4 + 3)^{10}$ ?

$40x^3(x^4 + 3)^9$

What is $\frac{dy}{dx}$ for $y = \sin(\ln(3x))$ ?

$\frac{\cos(\ln(3x))}{x}$

For $y = (x^2 + 1)^8$ , where is the only stationary point?

$x = 0$

Which function needs the chain rule to differentiate?

$e^{x^2 + 2}$

Explore AQA A-Level Mathematics Revision Notes by Topics

Differentiation

Applications of Differentiation

Further Differentiation

Further Applications of Differentiation

Implicit Differentiation

Explore AQA A-Level Mathematics Model Answers by Topics

Differentiation

Applications of Differentiation

Further Differentiation

Further Applications of Differentiation

Implicit Differentiation

Explore AQA A-Level Mathematics Flashcards by Topics

Differentiation

Applications of Differentiation

Further Differentiation

Further Applications of Differentiation

Implicit Differentiation

Explore AQA A-Level Mathematics Exam Questions by Topics

Differentiation

Applications of Differentiation

Further Differentiation

Further Applications of Differentiation

Implicit Differentiation

Join 100,000+ A-Level students studying Quizzes with us.

Select your subjects, and get access to A+ resources today.