Target Mathematics
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  • Add Math 0606
  • FPM 4PM1

Add Math 0606 topics

  • 1. Functions55
  • 2. Simultaneous equations and quadratics34
  • 2. Quadratic functions35
  • 3. Factors and polynomials61
  • 4. Equations, inequalities and graphs127
  • 5. Logarithmic and exponential functions86
  • 6. Straight-line graphs107
  • 7. Coordinate geometry of the circle6
  • 8. Circular measure68
  • 9. Trigonometry180
  • 10. Permutations and combinations55
  • 11. Series99
  • 12. Calculus — Differentiation 185
  • 13. Vectors51
  • 14. Calculus — Differentiation 261
  • 15. Calculus — Integration92
  • 16. Kinematics42
  • Indices and surds39

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Additional Mathematics 0606 / Calculus — Differentiation 2 / 2.40

2.40: Quotient rule with logarithmic denominator

0606/22/M/J/19 — Question 1 · 4 marks

· ·
Given that y=sin⁡xln⁡x2y = \dfrac{\sin x}{\ln x^{2}}y=lnx2sinx​, find an expression for dydx\dfrac{\mathrm{d}y}{\mathrm{d}x}dxdy​.
[4]
← 2.10: Quotient rule and small change for a logarithmic ratio2.61: Product rule with tangent and cosine →
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