Skip to content

Course home

1.6 Differentiation

1.6 Differentiation

EasyMediumHard
12345678910111213141516171819202122232425262728293031323334353637383940414243444546474849505152535455565758596061626364656667686970717273747576777879808182838485
Question 67

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]
Markscheme

1.6 Differentiation Questions

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

115 exam-style questions on CCEA A Level Maths 1.6 Differentiation, covering 1.6.1 Differentiation, 1.6.2 Differentiation, 1.6.3 Differentiation, 1.6.4 Differentiation, 1.6.5 Differentiation, 1.6.6 Differentiation, and 1.6.7 Differentiation. Each one has a worked solution and a mark scheme showing where the marks go.

Question bank