Sign in to jmaths to print this page or save it as a PDF: jmaths-8ce638778fd6.herokuapp.com/maths/ai-hl/further-derivatives/ahl-2-5/problems/

jmaths

IB Mathematics: Applications and Interpretation HL · AHL 2: Further Derivatives · AHL 2.5

Related rates of change Problem set A Answers

Skills

  1. dy/dt = 63

  2. dy/dt = 88.7

    1. (a) da/dt = −0.125
    2. (b) da/dt = −0.75

  4. dy/dt = −5/6 = −0.833

  5. dB/dt = 24

  6. dC/dt = −5

In context

  1. 45 cm² s⁻¹; increasing

  2. −2.00 kPa per minute

  3. −1.25 lux per second

Stretch

  1. dy/dt = −1.5

  2. dy/dt = 1.125 cm s⁻¹

jmaths.xyz · AI HL · AHL 2.5 Related rates with the chain rule