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3.6 Differentiation (A-level only)

3.6 Differentiation (A-level only)

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Question 24

A function ggg is defined by g(x)=x3x−6g(x) = \frac{x}{\sqrt{3x - 6}}g(x)=3x−6​x​.

a.

State the maximum possible domain of ggg.

[2]
b.

Use the quotient rule to show that g′(x)=3x−122(3x−6)32g'(x) = \frac{3x - 12}{2(3x - 6)^{\frac{3}{2}}}g′(x)=2(3x−6)23​3x−12​.

[4]
c.

Show that the graph of y=g(x)y = g(x)y=g(x) has exactly one point of inflection.

[5]
d.

Write down the values of xxx for which the graph of y=g(x)y = g(x)y=g(x) is concave.

[2]
Markscheme

3.6 Differentiation (A-level only) Questions

  1. A Level
  2. /Maths
  3. /3.6 Differentiation (A-level only)

333 exam-style questions on WJEC A Level Maths 3.6 Differentiation (A-level only), covering 3.6.1 Differentiation (A-level only), 3.6.2 Differentiation (A-level only), 3.6.3 Differentiation (A-level only), 3.6.4 Differentiation (A-level only), 3.6.5 Differentiation (A-level only), 3.6.6 Differentiation (A-level only), 3.6.7 Differentiation (A-level only), and 3.6 Differentiation (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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