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Differentiation and Integration 1

Differentiation and Integration 1

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Question 1
f(x)=(3−4x)2x,x>0. f(x) = \frac{(3 - 4\sqrt{x})^2}{\sqrt{x}}, \quad x > 0. f(x)=x​(3−4x​)2​,x>0.
a.

Show that f(x)=9x−12+Ax12+B\displaystyle f(x) = 9x^{-\frac{1}{2}} + Ax^{\frac{1}{2}} + Bf(x)=9x−21​+Ax21​+B, where A A\,A and B B\,B are constants to be found.

[3]
b.

Find f′(x)f'(x)f′(x).

[3]
c.

Evaluate f′(9)f'(9)f′(9).

[2]
Markscheme

Differentiation and Integration 1 Questions

  1. A Level
  2. /Old Maths
  3. /Differentiation and Integration 1

19 exam-style questions on Edexcel A Level Old Maths Differentiation and Integration 1. Each one has a worked solution and a mark scheme showing where the marks go.

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