Differential Calculus

MA-C2 is worth about 4 marks out of 100 in recent HSC Mathematics Advanced papers. Practise 18 exam-style questions (multiple choice, algebraic answer, multi-part, numerical 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 $\frac{d}{d x} (3 x^{2} - 5)^{4}$ ?

A $6 x (3 x^{2} - 5)^{3}$
B $24 x (3 x^{2} - 5)^{3}$
C $24 x (3 x^{2} - 5)^{5}$
D $4 (3 x^{2} - 5)^{3}$

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

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