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Edexcel IGCSE Math A 3.4.HB Differentiating Integer Powers of x

Practise differentiating polynomial terms by multiplying by the power and reducing the exponent by one.

Syllabus
First assessment 2018
Course
Math A 4MA1
Level
Higher

Exam points

  • apply d(axⁿ)/dx=anxⁿ⁻¹ to each polynomial term separately
  • differentiate linear terms to constants and constant terms to zero

3.4.HB Differentiate integer powers of x question 1

[Maximum number: 2]

The curve C has equation y=5x3−x2−6x+4y=5 x^{3}-x^{2}-6 x+4

Find dy dx\frac{\mathrm{d} y}{\mathrm{~d} x}

dy dx=\frac{\mathrm{d} y}{\mathrm{~d} x}=

There are two points on the curve C at which the gradient of the curve is 2

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