Target Mathematics
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Course

  • Add Math 0606
  • FPM 4PM1

FPM 4PM1 topics

  • 1. Surds and Logarithmic Functions42
  • 2. The Quadratic Function34
  • 3. Inequalities and Identities14
  • 4. Sketching Polynomials15
  • 5. Sequences and Series31
  • 6. The Binomial Series15
  • 7. Scalar and Vector Quantities22
  • 8. Rectangular Cartesian Coordinates29
  • 9. Differentiation69
  • 10. Integration29
  • 11. Trigonometry67

Study tools

  • FPM 4PM1 overview
Further Pure Mathematics 4PM1 / Differentiation / 1.51

1.51: Past-paper question 8

4PM1/2R/June/2025 — Question 8 · 5 marks

·
Use calculus to find the gradient of the curve with equation
y=e3x(9x+2)13y = \mathrm{e}^{3x}(9x + 2)^{\frac{1}{3}}y=e3x(9x+2)31​
at the point on the curve where x=1\displaystyle x = 1x=1
Give your answer to 3 significant figures.
(5)
← 1.50: 4PM1/2R/June/2025 — Question 71.33: 4PM1/1/June/2024 — Question 4 →
Target Mathematics · Topic questions and official mark schemes