2022 BTYSS P1 Q7

2022 BTYSS P1 Q7

Secondary 4
7 marks
  1. Express \(\dfrac{x^2+18x+50}{x(x+5)^2}\) in partial fractions.[5]
  2. Hence differentiate \(\dfrac{x^2+18x+50}{x(x+5)^2}\) with respect to \(x\).[2]

Solution:

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Answer:(a) \(\dfrac2x-\dfrac1{x+5}+\dfrac3{(x+5)^2}\). (b) \(-\dfrac2{x^2}+\dfrac1{(x+5)^2}-\dfrac6{(x+5)^3}\).

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