Tim Gan Math
Sign up free

2024 NYJC H1 Q2

2024 NYJC H1 Q2

7 marks
  1. Differentiate \(3\ln(4-5x^2)\) with respect to \(x\).[2]
  2. Differentiate \(\left(3\sqrt{x}-\frac{5}{\sqrt{x}}\right)^2\) with respect to \(x\), giving your answer in the form \(p+\frac{q}{x^2}\), where \(p\) and \(q\) are constants to be determined.[3]
  3. Find \(\displaystyle\int \frac{1}{5\sqrt{4-x}} \, \mathrm{d}x\).[2]

Solution:

Solution locked

680+ questions here come with free worked solutions. A free account saves your questions and progress; this one needs a course plan.

Create free accountSign inGet the H2 Math course · from S$39.98/moH2 Math tuition

Create a free account to practise similar questions.

Create free accountSign inGet the H2 Math course · from S$39.98/moH2 Math tuition
Answer:

(a) \(-\frac{30x}{4-5x^2}\).

(b) \(9-\frac{25}{x^2}\), so \(p=9,q=-25\).

(c) \(-\frac25\sqrt{4-x}+C\).

Need help? Join our JC Math tuition classes.

Learn more