QCEVault

Mathematical Methods — Question 6

QCAA 2024, Paper 1 · 1 mark

Q6 · 2024 · Technology-freeSimple familiar1 mark

QUESTION 6

Differentiate y=ln⁡(x)cos⁡(x)y=\ln(x)\cos(x) with respect to xx.
(A)
cos⁡xx\frac{\cos x}{x}
(B)
−sin⁡xx-\frac{\sin x}{x}
(C)
cos⁡xx+ln⁡(x)sin⁡(x)\frac{\cos x}{x}+\ln(x)\sin(x)
(D)
cos⁡xx−ln⁡(x)sin⁡(x)\frac{\cos x}{x}-\ln(x)\sin(x)
Question linkOriginal paper

Related questions

  1. Q1 · 2025 QCAA · Paper 1 · 1 mark
    Determine the value of ∫123x2 dx\displaystyle\int_1^2 3x^2\,dx.
    Question and worked solution
  2. Q2 · 2025 QCAA · Paper 1 · 1 mark
    State the domain of the function y=ln⁡(x)y=\ln(x).
    Question and worked solution
  3. Q3 · 2025 QCAA · Paper 1 · 1 mark
    A council wants to survey residents about a new dog park. Which sampling method would best minimise bias in the survey?
    Question and worked solution
  4. Q4 · 2025 QCAA · Paper 1 · 1 mark
    Solve for xx in the equation ln⁡(x)+ln⁡(2)=ln⁡(8)\ln(x)+\ln(2)=\ln(8).
    Question and worked solution