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Edexcel IGCSE Math B 4.L Differentiation Question Bank

Practise differentiating integer powers and using derivatives to calculate gradients or identify points on a curve.

Syllabus
First assessment 2018
Course
Math B 4MB1

Exam points

  • differentiate each axⁿ term using anxⁿ⁻¹ and remove constant terms
  • rewrite reciprocal powers before differentiating expressions such as x⁻¹
  • set the derivative equal to a stated gradient before finding curve coordinates

4.L Differentiation question 1

[Maximum number: 2]

Given
y=20x4+26x3−6x25x2−x,x≠0,x≠15.y=\frac{20x^4+26x^3-6x^2}{5x^2-x}, \quad x\ne0, \quad x\ne\frac15.
Use your answer to part (a) to find dydx\frac{dy}{dx}.

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