Differential Calculus

We estimate MA12-DC is worth about 5 marks out of 100 under the new Mathematics Advanced syllabus. Practise 25 exam-style questions (multiple choice, algebraic answer, numerical answer, multi-part, short answer) with instant marking and a worked solution for every question.

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Example questions

Example 1 · 1 mark · multiple choice

What is $\frac{d}{d x} e^{2 x - 1}$ ?

A $e^{2 x - 1}$
B $2 x e^{2 x - 1}$
C $2 e^{2 x - 1}$
D $(2 x - 1) e^{2 x - 2}$

Example 2 · 1 mark · multiple choice

What is $\frac{d}{d x} (x^{2} e^{x})$ ?

A $2 x e^{x}$
B $x^{2} e^{x}$
C $e^{x} (x^{2} + 2 x)$
D $2 x e^{x} + x^{2}$

Example 3 · 1 mark · multiple choice

What is $\frac{d}{d x} (\frac{ln x}{x})$ ?

A $\frac{1 - ln x}{x ^{2}}$
B $\frac{ln x - 1}{x ^{2}}$
C $\frac{1 + ln x}{x ^{2}}$
D $\frac{1}{x ^{2}}$

Answers and worked solutions appear when you practise these questions.

Differential Calculus

Example questions

Other Mathematics Advanced topics