Skip to content
MathsGenie logo
Quick links
Open app

Course home

  1. A Level
  3. Maths CCEA
  5. Question bank

1.6 Differentiation

EasyMediumHard
1234567891011121314151617181920212223242526272829303132333435363738394041424344454647484950515253545556575859606162636465666768697071727374757677
Question 62

The potential energy, VVV Joules, of a mechanical system depends on a configuration parameter xxx according to the model:

V=13x3+52x2−24x+10 V = \frac{1}{3}x^3 + \frac{5}{2}x^2 - 24x + 10 V=31​x3+25​x2−24x+10
a.

Use calculus to find the values of xxx for which the system's potential energy is stationary.

[3]
b.

By using the second derivative, determine the nature of each of these stationary points.

[3]

1.6 Differentiation Questions

  1. A Level
  2. /Maths
  3. /1.6 Differentiation