Product and Quotient Rules · CSEC Additional Mathematics

11 past-paper questions on Product and Quotient Rules, part of Differentiation, from every CSEC Additional Mathematics paper on Quelpr.

1. 5(a)4 marks· Additional Mathematics Q5 5(a)Differentiate the following expression with respect to x, simplifying your answer: (3x + 4) / (x - 2).
2. 5(a)4 marks· Additional Mathematics Q5 5(a)Differentiate the expression (2x^2 + 3) sin 5x with respect to x, simplifying your answer.
3. 5(a)4 marks· Additional Mathematics Q5 5(a)Differentiate the expression (1 + 2x)³ (x + 3) with respect to x, simplifying your answer.
4. 5(b)4 marks· Additional Mathematics Q5 5(b)Differentiate y = (5x + 3)³sin x with respect to x, simplifying your result as far as possible.
5. 5(b)4 marks· Additional Mathematics Q5 5(b)Differentiate y = 2x * sqrt(4 - 8x) with respect to x, simplifying your answer.
6. 6(i)2 marks· Additional Mathematics Q6 6(i)Differentiate x² ln x with respect to x.
7. 10(b)(i)3 marks· Additional Mathematics Q10 10(b)(i)Given that y = (x - 5)√(x + 4), show that dy/dx = 3(x + 1)/√(x + 4).
8. Q371 mark · multiple choice· CSEC Additional Mathematics · 2013 · Paper 1The equation of a curve is given by y = (x^2 + 2)(x - 1)^3. The gradient function, \frac{dy}{dx}, is given by
9. Q381 mark · multiple choice· CSEC Additional Mathematics · 2013 · Paper 1If y = \frac{x^2}{x + 3}, then \frac{dy}{dx} is
10. Q381 mark · multiple choice· CSEC Additional Mathematics · 2015 · Paper 1If y = \frac{x^2}{x + 3}, then \frac{dy}{dx} is
11. Q371 mark · multiple choice· CSEC Additional Mathematics · 2018 · Paper 1\frac{\mathrm{d}}{\mathrm{d}x}\left(\frac{2x - 1}{5 - x}\right) =